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Finding the Fourth Proportional to 7,547.40, 11,319.39 and 2,282.19

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Solution

The fourth proportional to 7,547.40, 11,319.39 and 2,282.19 is: 3,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.40 : 11,319.39 = 2,282.19 : x
  2. Step 2: Convert to fraction form
    7,547.40/11,319.39 = 2,282.19/x
  3. Step 3: Cross multiply
    7,547.40x = 11,319.39 × 2,282.19
  4. Step 4: Simplify right side
    7,547.40x = 25,832,998.66
  5. Step 5: Solve for x
    x = 25,832,998.66/7,547.40
  6. Step 6: Final answer
    x = 3,422.77

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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.