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Finding the Fourth Proportional to 10,381.07, 15,577.07 and 4,541.78

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Solution

The fourth proportional to 10,381.07, 15,577.07 and 4,541.78 is: 6,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.07 : 15,577.07 = 4,541.78 : x
  2. Step 2: Convert to fraction form
    10,381.07/15,577.07 = 4,541.78/x
  3. Step 3: Cross multiply
    10,381.07x = 15,577.07 × 4,541.78
  4. Step 4: Simplify right side
    10,381.07x = 70,747,524.39
  5. Step 5: Solve for x
    x = 70,747,524.39/10,381.07
  6. Step 6: Final answer
    x = 6,815.05

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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.