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Finding the Fourth Proportional to 11,561.65, 15,956.49 and 7,086.04

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Solution

The fourth proportional to 11,561.65, 15,956.49 and 7,086.04 is: 9,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.65 : 15,956.49 = 7,086.04 : x
  2. Step 2: Convert to fraction form
    11,561.65/15,956.49 = 7,086.04/x
  3. Step 3: Cross multiply
    11,561.65x = 15,956.49 × 7,086.04
  4. Step 4: Simplify right side
    11,561.65x = 113,068,326.40
  5. Step 5: Solve for x
    x = 113,068,326.40/11,561.65
  6. Step 6: Final answer
    x = 9,779.60

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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.