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Finding the Fourth Proportional to 7,148.88, 10,708.56 and 5,302.08

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Solution

The fourth proportional to 7,148.88, 10,708.56 and 5,302.08 is: 7,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.88 : 10,708.56 = 5,302.08 : x
  2. Step 2: Convert to fraction form
    7,148.88/10,708.56 = 5,302.08/x
  3. Step 3: Cross multiply
    7,148.88x = 10,708.56 × 5,302.08
  4. Step 4: Simplify right side
    7,148.88x = 56,777,641.80
  5. Step 5: Solve for x
    x = 56,777,641.80/7,148.88
  6. Step 6: Final answer
    x = 7,942.17

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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.