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Finding the Fourth Proportional to 10,149.77, 14,002.58 and 6,748.43

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Solution

The fourth proportional to 10,149.77, 14,002.58 and 6,748.43 is: 9,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.77 : 14,002.58 = 6,748.43 : x
  2. Step 2: Convert to fraction form
    10,149.77/14,002.58 = 6,748.43/x
  3. Step 3: Cross multiply
    10,149.77x = 14,002.58 × 6,748.43
  4. Step 4: Simplify right side
    10,149.77x = 94,495,327.19
  5. Step 5: Solve for x
    x = 94,495,327.19/10,149.77
  6. Step 6: Final answer
    x = 9,310.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.