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Finding the Fourth Proportional to 10,703.81, 16,047.68 and 3,303.92

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Solution

The fourth proportional to 10,703.81, 16,047.68 and 3,303.92 is: 4,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.81 : 16,047.68 = 3,303.92 : x
  2. Step 2: Convert to fraction form
    10,703.81/16,047.68 = 3,303.92/x
  3. Step 3: Cross multiply
    10,703.81x = 16,047.68 × 3,303.92
  4. Step 4: Simplify right side
    10,703.81x = 53,020,154.15
  5. Step 5: Solve for x
    x = 53,020,154.15/10,703.81
  6. Step 6: Final answer
    x = 4,953.39

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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.