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Finding the Fourth Proportional to 8,747.43, 12,071.75 and 5,210.16

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Solution

The fourth proportional to 8,747.43, 12,071.75 and 5,210.16 is: 7,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.43 : 12,071.75 = 5,210.16 : x
  2. Step 2: Convert to fraction form
    8,747.43/12,071.75 = 5,210.16/x
  3. Step 3: Cross multiply
    8,747.43x = 12,071.75 × 5,210.16
  4. Step 4: Simplify right side
    8,747.43x = 62,895,722.93
  5. Step 5: Solve for x
    x = 62,895,722.93/8,747.43
  6. Step 6: Final answer
    x = 7,190.19

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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.