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Finding the Fourth Proportional to 7,187.76, 9,915.80 and 5,195.16

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Solution

The fourth proportional to 7,187.76, 9,915.80 and 5,195.16 is: 7,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.76 : 9,915.80 = 5,195.16 : x
  2. Step 2: Convert to fraction form
    7,187.76/9,915.80 = 5,195.16/x
  3. Step 3: Cross multiply
    7,187.76x = 9,915.80 × 5,195.16
  4. Step 4: Simplify right side
    7,187.76x = 51,514,167.53
  5. Step 5: Solve for x
    x = 51,514,167.53/7,187.76
  6. Step 6: Final answer
    x = 7,166.93

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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.