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Finding the Fourth Proportional to 10,734.47, 14,820.14 and 8,505.35

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Solution

The fourth proportional to 10,734.47, 14,820.14 and 8,505.35 is: 11,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.47 : 14,820.14 = 8,505.35 : x
  2. Step 2: Convert to fraction form
    10,734.47/14,820.14 = 8,505.35/x
  3. Step 3: Cross multiply
    10,734.47x = 14,820.14 × 8,505.35
  4. Step 4: Simplify right side
    10,734.47x = 126,050,435.22
  5. Step 5: Solve for x
    x = 126,050,435.22/10,734.47
  6. Step 6: Final answer
    x = 11,742.59

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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.