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Finding the Fourth Proportional to 7,002.77, 10,502.06 and 5,767.11

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Solution

The fourth proportional to 7,002.77, 10,502.06 and 5,767.11 is: 8,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.77 : 10,502.06 = 5,767.11 : x
  2. Step 2: Convert to fraction form
    7,002.77/10,502.06 = 5,767.11/x
  3. Step 3: Cross multiply
    7,002.77x = 10,502.06 × 5,767.11
  4. Step 4: Simplify right side
    7,002.77x = 60,566,506.41
  5. Step 5: Solve for x
    x = 60,566,506.41/7,002.77
  6. Step 6: Final answer
    x = 8,648.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.