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Finding the Fourth Proportional to 8,705.64, 13,053.56 and 2,781.14

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Solution

The fourth proportional to 8,705.64, 13,053.56 and 2,781.14 is: 4,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.64 : 13,053.56 = 2,781.14 : x
  2. Step 2: Convert to fraction form
    8,705.64/13,053.56 = 2,781.14/x
  3. Step 3: Cross multiply
    8,705.64x = 13,053.56 × 2,781.14
  4. Step 4: Simplify right side
    8,705.64x = 36,303,719.54
  5. Step 5: Solve for x
    x = 36,303,719.54/8,705.64
  6. Step 6: Final answer
    x = 4,170.14

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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.