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Finding the Fourth Proportional to 13,115.64, 19,657.53 and 6,086.10

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Solution

The fourth proportional to 13,115.64, 19,657.53 and 6,086.10 is: 9,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.64 : 19,657.53 = 6,086.10 : x
  2. Step 2: Convert to fraction form
    13,115.64/19,657.53 = 6,086.10/x
  3. Step 3: Cross multiply
    13,115.64x = 19,657.53 × 6,086.10
  4. Step 4: Simplify right side
    13,115.64x = 119,637,693.33
  5. Step 5: Solve for x
    x = 119,637,693.33/13,115.64
  6. Step 6: Final answer
    x = 9,121.76

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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.