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Finding the Fourth Proportional to 10,216.75, 14,089.75 and 6,627.97

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Solution

The fourth proportional to 10,216.75, 14,089.75 and 6,627.97 is: 9,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.75 : 14,089.75 = 6,627.97 : x
  2. Step 2: Convert to fraction form
    10,216.75/14,089.75 = 6,627.97/x
  3. Step 3: Cross multiply
    10,216.75x = 14,089.75 × 6,627.97
  4. Step 4: Simplify right side
    10,216.75x = 93,386,440.31
  5. Step 5: Solve for x
    x = 93,386,440.31/10,216.75
  6. Step 6: Final answer
    x = 9,140.52

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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.