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Finding the Fourth Proportional to 10,223.01, 15,323.57 and 5,287.68

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Solution

The fourth proportional to 10,223.01, 15,323.57 and 5,287.68 is: 7,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.01 : 15,323.57 = 5,287.68 : x
  2. Step 2: Convert to fraction form
    10,223.01/15,323.57 = 5,287.68/x
  3. Step 3: Cross multiply
    10,223.01x = 15,323.57 × 5,287.68
  4. Step 4: Simplify right side
    10,223.01x = 81,026,134.62
  5. Step 5: Solve for x
    x = 81,026,134.62/10,223.01
  6. Step 6: Final answer
    x = 7,925.86

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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.