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Finding the Fourth Proportional to 7,888.80, 11,833.74 and 2,046

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Solution

The fourth proportional to 7,888.80, 11,833.74 and 2,046 is: 3,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.80 : 11,833.74 = 2,046 : x
  2. Step 2: Convert to fraction form
    7,888.80/11,833.74 = 2,046/x
  3. Step 3: Cross multiply
    7,888.80x = 11,833.74 × 2,046
  4. Step 4: Simplify right side
    7,888.80x = 24,211,832.04
  5. Step 5: Solve for x
    x = 24,211,832.04/7,888.80
  6. Step 6: Final answer
    x = 3,069.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.