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Finding the Fourth Proportional to 11,598.61, 16,005.72 and 6,494.14

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Solution

The fourth proportional to 11,598.61, 16,005.72 and 6,494.14 is: 8,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.61 : 16,005.72 = 6,494.14 : x
  2. Step 2: Convert to fraction form
    11,598.61/16,005.72 = 6,494.14/x
  3. Step 3: Cross multiply
    11,598.61x = 16,005.72 × 6,494.14
  4. Step 4: Simplify right side
    11,598.61x = 103,943,386.48
  5. Step 5: Solve for x
    x = 103,943,386.48/11,598.61
  6. Step 6: Final answer
    x = 8,961.71

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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.