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Finding the Fourth Proportional to 10,066.53, 15,104.81 and 4,523.84

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Solution

The fourth proportional to 10,066.53, 15,104.81 and 4,523.84 is: 6,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.53 : 15,104.81 = 4,523.84 : x
  2. Step 2: Convert to fraction form
    10,066.53/15,104.81 = 4,523.84/x
  3. Step 3: Cross multiply
    10,066.53x = 15,104.81 × 4,523.84
  4. Step 4: Simplify right side
    10,066.53x = 68,331,679.46
  5. Step 5: Solve for x
    x = 68,331,679.46/10,066.53
  6. Step 6: Final answer
    x = 6,788.01

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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.