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Finding the Fourth Proportional to 8,435.84, 11,641.44 and 4,901.12

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Solution

The fourth proportional to 8,435.84, 11,641.44 and 4,901.12 is: 6,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.84 : 11,641.44 = 4,901.12 : x
  2. Step 2: Convert to fraction form
    8,435.84/11,641.44 = 4,901.12/x
  3. Step 3: Cross multiply
    8,435.84x = 11,641.44 × 4,901.12
  4. Step 4: Simplify right side
    8,435.84x = 57,056,094.41
  5. Step 5: Solve for x
    x = 57,056,094.41/8,435.84
  6. Step 6: Final answer
    x = 6,763.53

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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.