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Finding the Fourth Proportional to 7,847.57, 10,830.15 and 5,490.47

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Solution

The fourth proportional to 7,847.57, 10,830.15 and 5,490.47 is: 7,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.57 : 10,830.15 = 5,490.47 : x
  2. Step 2: Convert to fraction form
    7,847.57/10,830.15 = 5,490.47/x
  3. Step 3: Cross multiply
    7,847.57x = 10,830.15 × 5,490.47
  4. Step 4: Simplify right side
    7,847.57x = 59,462,559.52
  5. Step 5: Solve for x
    x = 59,462,559.52/7,847.57
  6. Step 6: Final answer
    x = 7,577.20

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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.