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Finding the Fourth Proportional to 10,516.88, 15,780 and 5,585.32

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Solution

The fourth proportional to 10,516.88, 15,780 and 5,585.32 is: 8,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.88 : 15,780 = 5,585.32 : x
  2. Step 2: Convert to fraction form
    10,516.88/15,780 = 5,585.32/x
  3. Step 3: Cross multiply
    10,516.88x = 15,780 × 5,585.32
  4. Step 4: Simplify right side
    10,516.88x = 88,136,349.60
  5. Step 5: Solve for x
    x = 88,136,349.60/10,516.88
  6. Step 6: Final answer
    x = 8,380.47

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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.