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Finding the Fourth Proportional to 7,549.72, 10,414.98 and 4,897.96

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Solution

The fourth proportional to 7,549.72, 10,414.98 and 4,897.96 is: 6,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.72 : 10,414.98 = 4,897.96 : x
  2. Step 2: Convert to fraction form
    7,549.72/10,414.98 = 4,897.96/x
  3. Step 3: Cross multiply
    7,549.72x = 10,414.98 × 4,897.96
  4. Step 4: Simplify right side
    7,549.72x = 51,012,155.44
  5. Step 5: Solve for x
    x = 51,012,155.44/7,549.72
  6. Step 6: Final answer
    x = 6,756.83

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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.