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Finding the Fourth Proportional to 8,742.28, 12,053.86 and 7,143

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Solution

The fourth proportional to 8,742.28, 12,053.86 and 7,143 is: 9,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.28 : 12,053.86 = 7,143 : x
  2. Step 2: Convert to fraction form
    8,742.28/12,053.86 = 7,143/x
  3. Step 3: Cross multiply
    8,742.28x = 12,053.86 × 7,143
  4. Step 4: Simplify right side
    8,742.28x = 86,100,721.98
  5. Step 5: Solve for x
    x = 86,100,721.98/8,742.28
  6. Step 6: Final answer
    x = 9,848.77

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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.