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Finding the Fourth Proportional to 10,404.68, 15,598.38 and 7,275.74

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Solution

The fourth proportional to 10,404.68, 15,598.38 and 7,275.74 is: 10,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.68 : 15,598.38 = 7,275.74 : x
  2. Step 2: Convert to fraction form
    10,404.68/15,598.38 = 7,275.74/x
  3. Step 3: Cross multiply
    10,404.68x = 15,598.38 × 7,275.74
  4. Step 4: Simplify right side
    10,404.68x = 113,489,757.30
  5. Step 5: Solve for x
    x = 113,489,757.30/10,404.68
  6. Step 6: Final answer
    x = 10,907.57

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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.