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Finding the Fourth Proportional to 11,470.36, 15,807.45 and 8,278.02

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Solution

The fourth proportional to 11,470.36, 15,807.45 and 8,278.02 is: 11,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.36 : 15,807.45 = 8,278.02 : x
  2. Step 2: Convert to fraction form
    11,470.36/15,807.45 = 8,278.02/x
  3. Step 3: Cross multiply
    11,470.36x = 15,807.45 × 8,278.02
  4. Step 4: Simplify right side
    11,470.36x = 130,854,462.75
  5. Step 5: Solve for x
    x = 130,854,462.75/11,470.36
  6. Step 6: Final answer
    x = 11,408.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.