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Finding the Fourth Proportional to 10,274.29, 15,398.96 and 4,348.89

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Solution

The fourth proportional to 10,274.29, 15,398.96 and 4,348.89 is: 6,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.29 : 15,398.96 = 4,348.89 : x
  2. Step 2: Convert to fraction form
    10,274.29/15,398.96 = 4,348.89/x
  3. Step 3: Cross multiply
    10,274.29x = 15,398.96 × 4,348.89
  4. Step 4: Simplify right side
    10,274.29x = 66,968,385.87
  5. Step 5: Solve for x
    x = 66,968,385.87/10,274.29
  6. Step 6: Final answer
    x = 6,518.05

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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.