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Finding the Fourth Proportional to 10,488.61, 15,728.31 and 5,557.12

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Solution

The fourth proportional to 10,488.61, 15,728.31 and 5,557.12 is: 8,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.61 : 15,728.31 = 5,557.12 : x
  2. Step 2: Convert to fraction form
    10,488.61/15,728.31 = 5,557.12/x
  3. Step 3: Cross multiply
    10,488.61x = 15,728.31 × 5,557.12
  4. Step 4: Simplify right side
    10,488.61x = 87,404,106.07
  5. Step 5: Solve for x
    x = 87,404,106.07/10,488.61
  6. Step 6: Final answer
    x = 8,333.24

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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.