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Finding the Fourth Proportional to 10,708.30, 16,053.21 and 5,154

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Solution

The fourth proportional to 10,708.30, 16,053.21 and 5,154 is: 7,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.30 : 16,053.21 = 5,154 : x
  2. Step 2: Convert to fraction form
    10,708.30/16,053.21 = 5,154/x
  3. Step 3: Cross multiply
    10,708.30x = 16,053.21 × 5,154
  4. Step 4: Simplify right side
    10,708.30x = 82,738,244.34
  5. Step 5: Solve for x
    x = 82,738,244.34/10,708.30
  6. Step 6: Final answer
    x = 7,726.55

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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.