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Finding the Fourth Proportional to 10,573.53, 15,855.32 and 6,132.45

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Solution

The fourth proportional to 10,573.53, 15,855.32 and 6,132.45 is: 9,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.53 : 15,855.32 = 6,132.45 : x
  2. Step 2: Convert to fraction form
    10,573.53/15,855.32 = 6,132.45/x
  3. Step 3: Cross multiply
    10,573.53x = 15,855.32 × 6,132.45
  4. Step 4: Simplify right side
    10,573.53x = 97,231,926.47
  5. Step 5: Solve for x
    x = 97,231,926.47/10,573.53
  6. Step 6: Final answer
    x = 9,195.79

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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.