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Finding the Fourth Proportional to 10,647.84, 15,959.65 and 6,478.66

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Solution

The fourth proportional to 10,647.84, 15,959.65 and 6,478.66 is: 9,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.84 : 15,959.65 = 6,478.66 : x
  2. Step 2: Convert to fraction form
    10,647.84/15,959.65 = 6,478.66/x
  3. Step 3: Cross multiply
    10,647.84x = 15,959.65 × 6,478.66
  4. Step 4: Simplify right side
    10,647.84x = 103,397,033.88
  5. Step 5: Solve for x
    x = 103,397,033.88/10,647.84
  6. Step 6: Final answer
    x = 9,710.61

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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.