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Finding the Fourth Proportional to 8,438.63, 11,641.44 and 4,901.16

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Solution

The fourth proportional to 8,438.63, 11,641.44 and 4,901.16 is: 6,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.63 : 11,641.44 = 4,901.16 : x
  2. Step 2: Convert to fraction form
    8,438.63/11,641.44 = 4,901.16/x
  3. Step 3: Cross multiply
    8,438.63x = 11,641.44 × 4,901.16
  4. Step 4: Simplify right side
    8,438.63x = 57,056,560.07
  5. Step 5: Solve for x
    x = 57,056,560.07/8,438.63
  6. Step 6: Final answer
    x = 6,761.35

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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.