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Finding the Fourth Proportional to 10,066.42, 15,101.53 and 4,519.63

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Solution

The fourth proportional to 10,066.42, 15,101.53 and 4,519.63 is: 6,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.42 : 15,101.53 = 4,519.63 : x
  2. Step 2: Convert to fraction form
    10,066.42/15,101.53 = 4,519.63/x
  3. Step 3: Cross multiply
    10,066.42x = 15,101.53 × 4,519.63
  4. Step 4: Simplify right side
    10,066.42x = 68,253,328.03
  5. Step 5: Solve for x
    x = 68,253,328.03/10,066.42
  6. Step 6: Final answer
    x = 6,780.30

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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.