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Finding the Fourth Proportional to 7,913.68, 10,925 and 7,390.16

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Solution

The fourth proportional to 7,913.68, 10,925 and 7,390.16 is: 10,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.68 : 10,925 = 7,390.16 : x
  2. Step 2: Convert to fraction form
    7,913.68/10,925 = 7,390.16/x
  3. Step 3: Cross multiply
    7,913.68x = 10,925 × 7,390.16
  4. Step 4: Simplify right side
    7,913.68x = 80,737,498
  5. Step 5: Solve for x
    x = 80,737,498/7,913.68
  6. Step 6: Final answer
    x = 10,202.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.