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Finding the Fourth Proportional to 10,742.16, 14,800.56 and 8,042.16

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Solution

The fourth proportional to 10,742.16, 14,800.56 and 8,042.16 is: 11,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.16 : 14,800.56 = 8,042.16 : x
  2. Step 2: Convert to fraction form
    10,742.16/14,800.56 = 8,042.16/x
  3. Step 3: Cross multiply
    10,742.16x = 14,800.56 × 8,042.16
  4. Step 4: Simplify right side
    10,742.16x = 119,028,471.61
  5. Step 5: Solve for x
    x = 119,028,471.61/10,742.16
  6. Step 6: Final answer
    x = 11,080.50

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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.