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Finding the Fourth Proportional to 10,685.57, 16,030.19 and 4,764.56

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Solution

The fourth proportional to 10,685.57, 16,030.19 and 4,764.56 is: 7,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.57 : 16,030.19 = 4,764.56 : x
  2. Step 2: Convert to fraction form
    10,685.57/16,030.19 = 4,764.56/x
  3. Step 3: Cross multiply
    10,685.57x = 16,030.19 × 4,764.56
  4. Step 4: Simplify right side
    10,685.57x = 76,376,733.83
  5. Step 5: Solve for x
    x = 76,376,733.83/10,685.57
  6. Step 6: Final answer
    x = 7,147.66

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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.