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Finding the Fourth Proportional to 12,038.32, 18,057.48 and 5,878

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Solution

The fourth proportional to 12,038.32, 18,057.48 and 5,878 is: 8,817

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.32 : 18,057.48 = 5,878 : x
  2. Step 2: Convert to fraction form
    12,038.32/18,057.48 = 5,878/x
  3. Step 3: Cross multiply
    12,038.32x = 18,057.48 × 5,878
  4. Step 4: Simplify right side
    12,038.32x = 106,141,867.44
  5. Step 5: Solve for x
    x = 106,141,867.44/12,038.32
  6. Step 6: Final answer
    x = 8,817

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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.