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Finding the Fourth Proportional to 8,158.32, 11,260.62 and 5,637.60

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Solution

The fourth proportional to 8,158.32, 11,260.62 and 5,637.60 is: 7,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.32 : 11,260.62 = 5,637.60 : x
  2. Step 2: Convert to fraction form
    8,158.32/11,260.62 = 5,637.60/x
  3. Step 3: Cross multiply
    8,158.32x = 11,260.62 × 5,637.60
  4. Step 4: Simplify right side
    8,158.32x = 63,482,871.31
  5. Step 5: Solve for x
    x = 63,482,871.31/8,158.32
  6. Step 6: Final answer
    x = 7,781.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.