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Finding the Fourth Proportional to 10,223.71, 15,341.47 and 4,300.13

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Solution

The fourth proportional to 10,223.71, 15,341.47 and 4,300.13 is: 6,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.71 : 15,341.47 = 4,300.13 : x
  2. Step 2: Convert to fraction form
    10,223.71/15,341.47 = 4,300.13/x
  3. Step 3: Cross multiply
    10,223.71x = 15,341.47 × 4,300.13
  4. Step 4: Simplify right side
    10,223.71x = 65,970,315.39
  5. Step 5: Solve for x
    x = 65,970,315.39/10,223.71
  6. Step 6: Final answer
    x = 6,452.68

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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.