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Finding the Fourth Proportional to 10,926.80, 16,378.79 and 7,417.08

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Solution

The fourth proportional to 10,926.80, 16,378.79 and 7,417.08 is: 11,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.80 : 16,378.79 = 7,417.08 : x
  2. Step 2: Convert to fraction form
    10,926.80/16,378.79 = 7,417.08/x
  3. Step 3: Cross multiply
    10,926.80x = 16,378.79 × 7,417.08
  4. Step 4: Simplify right side
    10,926.80x = 121,482,758.65
  5. Step 5: Solve for x
    x = 121,482,758.65/10,926.80
  6. Step 6: Final answer
    x = 11,117.88

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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.