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Finding the Fourth Proportional to 10,706.60, 16,062.33 and 5,776.13

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Solution

The fourth proportional to 10,706.60, 16,062.33 and 5,776.13 is: 8,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.60 : 16,062.33 = 5,776.13 : x
  2. Step 2: Convert to fraction form
    10,706.60/16,062.33 = 5,776.13/x
  3. Step 3: Cross multiply
    10,706.60x = 16,062.33 × 5,776.13
  4. Step 4: Simplify right side
    10,706.60x = 92,778,106.18
  5. Step 5: Solve for x
    x = 92,778,106.18/10,706.60
  6. Step 6: Final answer
    x = 8,665.51

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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.