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Finding the Fourth Proportional to 10,595.74, 15,892.90 and 4,354.14

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Solution

The fourth proportional to 10,595.74, 15,892.90 and 4,354.14 is: 6,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.74 : 15,892.90 = 4,354.14 : x
  2. Step 2: Convert to fraction form
    10,595.74/15,892.90 = 4,354.14/x
  3. Step 3: Cross multiply
    10,595.74x = 15,892.90 × 4,354.14
  4. Step 4: Simplify right side
    10,595.74x = 69,199,911.61
  5. Step 5: Solve for x
    x = 69,199,911.61/10,595.74
  6. Step 6: Final answer
    x = 6,530.92

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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.