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Finding the Fourth Proportional to 11,665.12, 16,098.08 and 6,360.16

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Solution

The fourth proportional to 11,665.12, 16,098.08 and 6,360.16 is: 8,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.12 : 16,098.08 = 6,360.16 : x
  2. Step 2: Convert to fraction form
    11,665.12/16,098.08 = 6,360.16/x
  3. Step 3: Cross multiply
    11,665.12x = 16,098.08 × 6,360.16
  4. Step 4: Simplify right side
    11,665.12x = 102,386,364.49
  5. Step 5: Solve for x
    x = 102,386,364.49/11,665.12
  6. Step 6: Final answer
    x = 8,777.14

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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.