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Finding the Fourth Proportional to 10,506.62, 15,737.31 and 4,951.64

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Solution

The fourth proportional to 10,506.62, 15,737.31 and 4,951.64 is: 7,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.62 : 15,737.31 = 4,951.64 : x
  2. Step 2: Convert to fraction form
    10,506.62/15,737.31 = 4,951.64/x
  3. Step 3: Cross multiply
    10,506.62x = 15,737.31 × 4,951.64
  4. Step 4: Simplify right side
    10,506.62x = 77,925,415.00
  5. Step 5: Solve for x
    x = 77,925,415.00/10,506.62
  6. Step 6: Final answer
    x = 7,416.80

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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.