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Finding the Fourth Proportional to 8,436.96, 11,642.74 and 4,901.31

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Solution

The fourth proportional to 8,436.96, 11,642.74 and 4,901.31 is: 6,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.96 : 11,642.74 = 4,901.31 : x
  2. Step 2: Convert to fraction form
    8,436.96/11,642.74 = 4,901.31/x
  3. Step 3: Cross multiply
    8,436.96x = 11,642.74 × 4,901.31
  4. Step 4: Simplify right side
    8,436.96x = 57,064,665.74
  5. Step 5: Solve for x
    x = 57,064,665.74/8,436.96
  6. Step 6: Final answer
    x = 6,763.65

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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.