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Finding the Fourth Proportional to 7,658.28, 10,569.42 and 4,674.51

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Solution

The fourth proportional to 7,658.28, 10,569.42 and 4,674.51 is: 6,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.28 : 10,569.42 = 4,674.51 : x
  2. Step 2: Convert to fraction form
    7,658.28/10,569.42 = 4,674.51/x
  3. Step 3: Cross multiply
    7,658.28x = 10,569.42 × 4,674.51
  4. Step 4: Simplify right side
    7,658.28x = 49,406,859.48
  5. Step 5: Solve for x
    x = 49,406,859.48/7,658.28
  6. Step 6: Final answer
    x = 6,451.43

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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.