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Finding the Fourth Proportional to 10,184.76, 14,053.68 and 5,708.22

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Solution

The fourth proportional to 10,184.76, 14,053.68 and 5,708.22 is: 7,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.76 : 14,053.68 = 5,708.22 : x
  2. Step 2: Convert to fraction form
    10,184.76/14,053.68 = 5,708.22/x
  3. Step 3: Cross multiply
    10,184.76x = 14,053.68 × 5,708.22
  4. Step 4: Simplify right side
    10,184.76x = 80,221,497.25
  5. Step 5: Solve for x
    x = 80,221,497.25/10,184.76
  6. Step 6: Final answer
    x = 7,876.62

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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.