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Finding the Fourth Proportional to 10,472.19, 14,452.05 and 5,756.50

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Solution

The fourth proportional to 10,472.19, 14,452.05 and 5,756.50 is: 7,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.19 : 14,452.05 = 5,756.50 : x
  2. Step 2: Convert to fraction form
    10,472.19/14,452.05 = 5,756.50/x
  3. Step 3: Cross multiply
    10,472.19x = 14,452.05 × 5,756.50
  4. Step 4: Simplify right side
    10,472.19x = 83,193,225.83
  5. Step 5: Solve for x
    x = 83,193,225.83/10,472.19
  6. Step 6: Final answer
    x = 7,944.21

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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.