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Finding the Fourth Proportional to 7,158.17, 9,882.71 and 4,771.51

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Solution

The fourth proportional to 7,158.17, 9,882.71 and 4,771.51 is: 6,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.17 : 9,882.71 = 4,771.51 : x
  2. Step 2: Convert to fraction form
    7,158.17/9,882.71 = 4,771.51/x
  3. Step 3: Cross multiply
    7,158.17x = 9,882.71 × 4,771.51
  4. Step 4: Simplify right side
    7,158.17x = 47,155,418.92
  5. Step 5: Solve for x
    x = 47,155,418.92/7,158.17
  6. Step 6: Final answer
    x = 6,587.63

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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.