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Finding the Fourth Proportional to 7,251, 10,821.72 and 6,551.16

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Solution

The fourth proportional to 7,251, 10,821.72 and 6,551.16 is: 9,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251 : 10,821.72 = 6,551.16 : x
  2. Step 2: Convert to fraction form
    7,251/10,821.72 = 6,551.16/x
  3. Step 3: Cross multiply
    7,251x = 10,821.72 × 6,551.16
  4. Step 4: Simplify right side
    7,251x = 70,894,819.20
  5. Step 5: Solve for x
    x = 70,894,819.20/7,251
  6. Step 6: Final answer
    x = 9,777.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.