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Finding the Fourth Proportional to 8,278.01, 12,416.91 and 2,038.10

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Solution

The fourth proportional to 8,278.01, 12,416.91 and 2,038.10 is: 3,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.01 : 12,416.91 = 2,038.10 : x
  2. Step 2: Convert to fraction form
    8,278.01/12,416.91 = 2,038.10/x
  3. Step 3: Cross multiply
    8,278.01x = 12,416.91 × 2,038.10
  4. Step 4: Simplify right side
    8,278.01x = 25,306,904.27
  5. Step 5: Solve for x
    x = 25,306,904.27/8,278.01
  6. Step 6: Final answer
    x = 3,057.12

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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.