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Finding the Fourth Proportional to 11,598.92, 16,006.40 and 6,293.68

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Solution

The fourth proportional to 11,598.92, 16,006.40 and 6,293.68 is: 8,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.92 : 16,006.40 = 6,293.68 : x
  2. Step 2: Convert to fraction form
    11,598.92/16,006.40 = 6,293.68/x
  3. Step 3: Cross multiply
    11,598.92x = 16,006.40 × 6,293.68
  4. Step 4: Simplify right side
    11,598.92x = 100,739,159.55
  5. Step 5: Solve for x
    x = 100,739,159.55/11,598.92
  6. Step 6: Final answer
    x = 8,685.22

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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.