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Finding the Fourth Proportional to 6,706.32, 10,053.28 and 6,152.68

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Solution

The fourth proportional to 6,706.32, 10,053.28 and 6,152.68 is: 9,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.32 : 10,053.28 = 6,152.68 : x
  2. Step 2: Convert to fraction form
    6,706.32/10,053.28 = 6,152.68/x
  3. Step 3: Cross multiply
    6,706.32x = 10,053.28 × 6,152.68
  4. Step 4: Simplify right side
    6,706.32x = 61,854,614.79
  5. Step 5: Solve for x
    x = 61,854,614.79/6,706.32
  6. Step 6: Final answer
    x = 9,223.33

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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.