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Finding the Fourth Proportional to 7,147.62, 10,737.90 and 6,852.38

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Solution

The fourth proportional to 7,147.62, 10,737.90 and 6,852.38 is: 10,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.62 : 10,737.90 = 6,852.38 : x
  2. Step 2: Convert to fraction form
    7,147.62/10,737.90 = 6,852.38/x
  3. Step 3: Cross multiply
    7,147.62x = 10,737.90 × 6,852.38
  4. Step 4: Simplify right side
    7,147.62x = 73,580,117.51
  5. Step 5: Solve for x
    x = 73,580,117.51/7,147.62
  6. Step 6: Final answer
    x = 10,294.35

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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.