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Finding the Fourth Proportional to 10,956.13, 15,116.63 and 6,705.65

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Solution

The fourth proportional to 10,956.13, 15,116.63 and 6,705.65 is: 9,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.13 : 15,116.63 = 6,705.65 : x
  2. Step 2: Convert to fraction form
    10,956.13/15,116.63 = 6,705.65/x
  3. Step 3: Cross multiply
    10,956.13x = 15,116.63 × 6,705.65
  4. Step 4: Simplify right side
    10,956.13x = 101,366,834.22
  5. Step 5: Solve for x
    x = 101,366,834.22/10,956.13
  6. Step 6: Final answer
    x = 9,252.07

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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.