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Finding the Fourth Proportional to 10,572.19, 15,838.71 and 5,301.05

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Solution

The fourth proportional to 10,572.19, 15,838.71 and 5,301.05 is: 7,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.19 : 15,838.71 = 5,301.05 : x
  2. Step 2: Convert to fraction form
    10,572.19/15,838.71 = 5,301.05/x
  3. Step 3: Cross multiply
    10,572.19x = 15,838.71 × 5,301.05
  4. Step 4: Simplify right side
    10,572.19x = 83,961,793.65
  5. Step 5: Solve for x
    x = 83,961,793.65/10,572.19
  6. Step 6: Final answer
    x = 7,941.76

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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.