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Finding the Fourth Proportional to 7,126.80, 10,681.53 and 5,047.41

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Solution

The fourth proportional to 7,126.80, 10,681.53 and 5,047.41 is: 7,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.80 : 10,681.53 = 5,047.41 : x
  2. Step 2: Convert to fraction form
    7,126.80/10,681.53 = 5,047.41/x
  3. Step 3: Cross multiply
    7,126.80x = 10,681.53 × 5,047.41
  4. Step 4: Simplify right side
    7,126.80x = 53,914,061.34
  5. Step 5: Solve for x
    x = 53,914,061.34/7,126.80
  6. Step 6: Final answer
    x = 7,564.97

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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.