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Finding the Fourth Proportional to 11,870.56, 16,381.29 and 6,565.18

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Solution

The fourth proportional to 11,870.56, 16,381.29 and 6,565.18 is: 9,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.56 : 16,381.29 = 6,565.18 : x
  2. Step 2: Convert to fraction form
    11,870.56/16,381.29 = 6,565.18/x
  3. Step 3: Cross multiply
    11,870.56x = 16,381.29 × 6,565.18
  4. Step 4: Simplify right side
    11,870.56x = 107,546,117.48
  5. Step 5: Solve for x
    x = 107,546,117.48/11,870.56
  6. Step 6: Final answer
    x = 9,059.90

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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.