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Finding the Fourth Proportional to 10,748.97, 14,830.02 and 8,756.10

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Solution

The fourth proportional to 10,748.97, 14,830.02 and 8,756.10 is: 12,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.97 : 14,830.02 = 8,756.10 : x
  2. Step 2: Convert to fraction form
    10,748.97/14,830.02 = 8,756.10/x
  3. Step 3: Cross multiply
    10,748.97x = 14,830.02 × 8,756.10
  4. Step 4: Simplify right side
    10,748.97x = 129,853,138.12
  5. Step 5: Solve for x
    x = 129,853,138.12/10,748.97
  6. Step 6: Final answer
    x = 12,080.52

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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.