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Finding the Fourth Proportional to 10,457.66, 15,672.24 and 5,770.69

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Solution

The fourth proportional to 10,457.66, 15,672.24 and 5,770.69 is: 8,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.66 : 15,672.24 = 5,770.69 : x
  2. Step 2: Convert to fraction form
    10,457.66/15,672.24 = 5,770.69/x
  3. Step 3: Cross multiply
    10,457.66x = 15,672.24 × 5,770.69
  4. Step 4: Simplify right side
    10,457.66x = 90,439,599.47
  5. Step 5: Solve for x
    x = 90,439,599.47/10,457.66
  6. Step 6: Final answer
    x = 8,648.17

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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.