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Finding the Fourth Proportional to 7,156.47, 10,670.51 and 6,882.18

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Solution

The fourth proportional to 7,156.47, 10,670.51 and 6,882.18 is: 10,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.47 : 10,670.51 = 6,882.18 : x
  2. Step 2: Convert to fraction form
    7,156.47/10,670.51 = 6,882.18/x
  3. Step 3: Cross multiply
    7,156.47x = 10,670.51 × 6,882.18
  4. Step 4: Simplify right side
    7,156.47x = 73,436,336.10
  5. Step 5: Solve for x
    x = 73,436,336.10/7,156.47
  6. Step 6: Final answer
    x = 10,261.53

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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.