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Finding the Fourth Proportional to 10,536.66, 14,540.65 and 5,756.70

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Solution

The fourth proportional to 10,536.66, 14,540.65 and 5,756.70 is: 7,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.66 : 14,540.65 = 5,756.70 : x
  2. Step 2: Convert to fraction form
    10,536.66/14,540.65 = 5,756.70/x
  3. Step 3: Cross multiply
    10,536.66x = 14,540.65 × 5,756.70
  4. Step 4: Simplify right side
    10,536.66x = 83,706,221.58
  5. Step 5: Solve for x
    x = 83,706,221.58/10,536.66
  6. Step 6: Final answer
    x = 7,944.28

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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.