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Finding the Fourth Proportional to 7,642.79, 10,553.28 and 6,226.71

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Solution

The fourth proportional to 7,642.79, 10,553.28 and 6,226.71 is: 8,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.79 : 10,553.28 = 6,226.71 : x
  2. Step 2: Convert to fraction form
    7,642.79/10,553.28 = 6,226.71/x
  3. Step 3: Cross multiply
    7,642.79x = 10,553.28 × 6,226.71
  4. Step 4: Simplify right side
    7,642.79x = 65,712,214.11
  5. Step 5: Solve for x
    x = 65,712,214.11/7,642.79
  6. Step 6: Final answer
    x = 8,597.94

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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.