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Finding the Fourth Proportional to 11,515.50, 15,891.39 and 6,547.50

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Solution

The fourth proportional to 11,515.50, 15,891.39 and 6,547.50 is: 9,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.50 : 15,891.39 = 6,547.50 : x
  2. Step 2: Convert to fraction form
    11,515.50/15,891.39 = 6,547.50/x
  3. Step 3: Cross multiply
    11,515.50x = 15,891.39 × 6,547.50
  4. Step 4: Simplify right side
    11,515.50x = 104,048,876.03
  5. Step 5: Solve for x
    x = 104,048,876.03/11,515.50
  6. Step 6: Final answer
    x = 9,035.55

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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.