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Finding the Fourth Proportional to 10,071.83, 15,098.48 and 5,395.04

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Solution

The fourth proportional to 10,071.83, 15,098.48 and 5,395.04 is: 8,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.83 : 15,098.48 = 5,395.04 : x
  2. Step 2: Convert to fraction form
    10,071.83/15,098.48 = 5,395.04/x
  3. Step 3: Cross multiply
    10,071.83x = 15,098.48 × 5,395.04
  4. Step 4: Simplify right side
    10,071.83x = 81,456,801.07
  5. Step 5: Solve for x
    x = 81,456,801.07/10,071.83
  6. Step 6: Final answer
    x = 8,087.59

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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.