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Finding the Fourth Proportional to 7,188.13, 10,737.97 and 5,196.74

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Solution

The fourth proportional to 7,188.13, 10,737.97 and 5,196.74 is: 7,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.13 : 10,737.97 = 5,196.74 : x
  2. Step 2: Convert to fraction form
    7,188.13/10,737.97 = 5,196.74/x
  3. Step 3: Cross multiply
    7,188.13x = 10,737.97 × 5,196.74
  4. Step 4: Simplify right side
    7,188.13x = 55,802,438.22
  5. Step 5: Solve for x
    x = 55,802,438.22/7,188.13
  6. Step 6: Final answer
    x = 7,763.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.