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Finding the Fourth Proportional to 11,378.74, 17,068.14 and 4,357.12

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Solution

The fourth proportional to 11,378.74, 17,068.14 and 4,357.12 is: 6,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.74 : 17,068.14 = 4,357.12 : x
  2. Step 2: Convert to fraction form
    11,378.74/17,068.14 = 4,357.12/x
  3. Step 3: Cross multiply
    11,378.74x = 17,068.14 × 4,357.12
  4. Step 4: Simplify right side
    11,378.74x = 74,367,934.16
  5. Step 5: Solve for x
    x = 74,367,934.16/11,378.74
  6. Step 6: Final answer
    x = 6,535.69

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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.