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Finding the Fourth Proportional to 10,573.68, 15,854.52 and 7,245.66

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Solution

The fourth proportional to 10,573.68, 15,854.52 and 7,245.66 is: 10,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.68 : 15,854.52 = 7,245.66 : x
  2. Step 2: Convert to fraction form
    10,573.68/15,854.52 = 7,245.66/x
  3. Step 3: Cross multiply
    10,573.68x = 15,854.52 × 7,245.66
  4. Step 4: Simplify right side
    10,573.68x = 114,876,461.38
  5. Step 5: Solve for x
    x = 114,876,461.38/10,573.68
  6. Step 6: Final answer
    x = 10,864.38

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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.