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Finding the Fourth Proportional to 7,186.98, 9,915.11 and 4,532.84

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Solution

The fourth proportional to 7,186.98, 9,915.11 and 4,532.84 is: 6,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.98 : 9,915.11 = 4,532.84 : x
  2. Step 2: Convert to fraction form
    7,186.98/9,915.11 = 4,532.84/x
  3. Step 3: Cross multiply
    7,186.98x = 9,915.11 × 4,532.84
  4. Step 4: Simplify right side
    7,186.98x = 44,943,561.27
  5. Step 5: Solve for x
    x = 44,943,561.27/7,186.98
  6. Step 6: Final answer
    x = 6,253.47

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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.