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Finding the Fourth Proportional to 10,594.57, 15,892.78 and 3,931.14

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Solution

The fourth proportional to 10,594.57, 15,892.78 and 3,931.14 is: 5,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.57 : 15,892.78 = 3,931.14 : x
  2. Step 2: Convert to fraction form
    10,594.57/15,892.78 = 3,931.14/x
  3. Step 3: Cross multiply
    10,594.57x = 15,892.78 × 3,931.14
  4. Step 4: Simplify right side
    10,594.57x = 62,476,733.34
  5. Step 5: Solve for x
    x = 62,476,733.34/10,594.57
  6. Step 6: Final answer
    x = 5,897.05

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