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Finding the Fourth Proportional to 7,601.80, 10,478.49 and 5,710.69

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Solution

The fourth proportional to 7,601.80, 10,478.49 and 5,710.69 is: 7,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.80 : 10,478.49 = 5,710.69 : x
  2. Step 2: Convert to fraction form
    7,601.80/10,478.49 = 5,710.69/x
  3. Step 3: Cross multiply
    7,601.80x = 10,478.49 × 5,710.69
  4. Step 4: Simplify right side
    7,601.80x = 59,839,408.06
  5. Step 5: Solve for x
    x = 59,839,408.06/7,601.80
  6. Step 6: Final answer
    x = 7,871.74

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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.