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Finding the Fourth Proportional to 8,598.31, 12,902.24 and 4,649.47

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Solution

The fourth proportional to 8,598.31, 12,902.24 and 4,649.47 is: 6,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.31 : 12,902.24 = 4,649.47 : x
  2. Step 2: Convert to fraction form
    8,598.31/12,902.24 = 4,649.47/x
  3. Step 3: Cross multiply
    8,598.31x = 12,902.24 × 4,649.47
  4. Step 4: Simplify right side
    8,598.31x = 59,988,577.81
  5. Step 5: Solve for x
    x = 59,988,577.81/8,598.31
  6. Step 6: Final answer
    x = 6,976.79

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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.