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Finding the Fourth Proportional to 11,808.66, 16,303.79 and 7,339.08

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Solution

The fourth proportional to 11,808.66, 16,303.79 and 7,339.08 is: 10,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.66 : 16,303.79 = 7,339.08 : x
  2. Step 2: Convert to fraction form
    11,808.66/16,303.79 = 7,339.08/x
  3. Step 3: Cross multiply
    11,808.66x = 16,303.79 × 7,339.08
  4. Step 4: Simplify right side
    11,808.66x = 119,654,819.11
  5. Step 5: Solve for x
    x = 119,654,819.11/11,808.66
  6. Step 6: Final answer
    x = 10,132.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.