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Finding the Fourth Proportional to 7,847.64, 10,830.78 and 5,061.24

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Solution

The fourth proportional to 7,847.64, 10,830.78 and 5,061.24 is: 6,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.64 : 10,830.78 = 5,061.24 : x
  2. Step 2: Convert to fraction form
    7,847.64/10,830.78 = 5,061.24/x
  3. Step 3: Cross multiply
    7,847.64x = 10,830.78 × 5,061.24
  4. Step 4: Simplify right side
    7,847.64x = 54,817,176.97
  5. Step 5: Solve for x
    x = 54,817,176.97/7,847.64
  6. Step 6: Final answer
    x = 6,985.18

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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.