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Finding the Fourth Proportional to 10,223.66, 15,343.70 and 5,294.72

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Solution

The fourth proportional to 10,223.66, 15,343.70 and 5,294.72 is: 7,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.66 : 15,343.70 = 5,294.72 : x
  2. Step 2: Convert to fraction form
    10,223.66/15,343.70 = 5,294.72/x
  3. Step 3: Cross multiply
    10,223.66x = 15,343.70 × 5,294.72
  4. Step 4: Simplify right side
    10,223.66x = 81,240,607.15
  5. Step 5: Solve for x
    x = 81,240,607.15/10,223.66
  6. Step 6: Final answer
    x = 7,946.33

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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.