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Finding the Fourth Proportional to 10,412.35, 15,593.49 and 5,956.51

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Solution

The fourth proportional to 10,412.35, 15,593.49 and 5,956.51 is: 8,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.35 : 15,593.49 = 5,956.51 : x
  2. Step 2: Convert to fraction form
    10,412.35/15,593.49 = 5,956.51/x
  3. Step 3: Cross multiply
    10,412.35x = 15,593.49 × 5,956.51
  4. Step 4: Simplify right side
    10,412.35x = 92,882,779.12
  5. Step 5: Solve for x
    x = 92,882,779.12/10,412.35
  6. Step 6: Final answer
    x = 8,920.44

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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.