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Finding the Fourth Proportional to 12,010.71, 16,574.78 and 6,705.53

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Solution

The fourth proportional to 12,010.71, 16,574.78 and 6,705.53 is: 9,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.71 : 16,574.78 = 6,705.53 : x
  2. Step 2: Convert to fraction form
    12,010.71/16,574.78 = 6,705.53/x
  3. Step 3: Cross multiply
    12,010.71x = 16,574.78 × 6,705.53
  4. Step 4: Simplify right side
    12,010.71x = 111,142,568.13
  5. Step 5: Solve for x
    x = 111,142,568.13/12,010.71
  6. Step 6: Final answer
    x = 9,253.62

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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.