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Finding the Fourth Proportional to 8,724, 13,077.36 and 4,098.72

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Solution

The fourth proportional to 8,724, 13,077.36 and 4,098.72 is: 6,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 13,077.36 = 4,098.72 : x
  2. Step 2: Convert to fraction form
    8,724/13,077.36 = 4,098.72/x
  3. Step 3: Cross multiply
    8,724x = 13,077.36 × 4,098.72
  4. Step 4: Simplify right side
    8,724x = 53,600,436.98
  5. Step 5: Solve for x
    x = 53,600,436.98/8,724
  6. Step 6: Final answer
    x = 6,144.02

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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.