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Finding the Fourth Proportional to 8,714.93, 13,071.02 and 7,243.61

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Solution

The fourth proportional to 8,714.93, 13,071.02 and 7,243.61 is: 10,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.93 : 13,071.02 = 7,243.61 : x
  2. Step 2: Convert to fraction form
    8,714.93/13,071.02 = 7,243.61/x
  3. Step 3: Cross multiply
    8,714.93x = 13,071.02 × 7,243.61
  4. Step 4: Simplify right side
    8,714.93x = 94,681,323.94
  5. Step 5: Solve for x
    x = 94,681,323.94/8,714.93
  6. Step 6: Final answer
    x = 10,864.26

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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.