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Finding the Fourth Proportional to 8,705.68, 12,009.82 and 5,166.88

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Solution

The fourth proportional to 8,705.68, 12,009.82 and 5,166.88 is: 7,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.68 : 12,009.82 = 5,166.88 : x
  2. Step 2: Convert to fraction form
    8,705.68/12,009.82 = 5,166.88/x
  3. Step 3: Cross multiply
    8,705.68x = 12,009.82 × 5,166.88
  4. Step 4: Simplify right side
    8,705.68x = 62,053,298.76
  5. Step 5: Solve for x
    x = 62,053,298.76/8,705.68
  6. Step 6: Final answer
    x = 7,127.91

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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.