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Finding the Fourth Proportional to 10,870.42, 16,305.11 and 3,850.32

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Solution

The fourth proportional to 10,870.42, 16,305.11 and 3,850.32 is: 5,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.42 : 16,305.11 = 3,850.32 : x
  2. Step 2: Convert to fraction form
    10,870.42/16,305.11 = 3,850.32/x
  3. Step 3: Cross multiply
    10,870.42x = 16,305.11 × 3,850.32
  4. Step 4: Simplify right side
    10,870.42x = 62,779,826.77
  5. Step 5: Solve for x
    x = 62,779,826.77/10,870.42
  6. Step 6: Final answer
    x = 5,775.29

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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.