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Finding the Fourth Proportional to 10,045.60, 15,066.34 and 3,803.46

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Solution

The fourth proportional to 10,045.60, 15,066.34 and 3,803.46 is: 5,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.60 : 15,066.34 = 3,803.46 : x
  2. Step 2: Convert to fraction form
    10,045.60/15,066.34 = 3,803.46/x
  3. Step 3: Cross multiply
    10,045.60x = 15,066.34 × 3,803.46
  4. Step 4: Simplify right side
    10,045.60x = 57,304,155.53
  5. Step 5: Solve for x
    x = 57,304,155.53/10,045.60
  6. Step 6: Final answer
    x = 5,704.40

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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.