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Finding the Fourth Proportional to 8,938.32, 12,333.06 and 5,752.16

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Solution

The fourth proportional to 8,938.32, 12,333.06 and 5,752.16 is: 7,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.32 : 12,333.06 = 5,752.16 : x
  2. Step 2: Convert to fraction form
    8,938.32/12,333.06 = 5,752.16/x
  3. Step 3: Cross multiply
    8,938.32x = 12,333.06 × 5,752.16
  4. Step 4: Simplify right side
    8,938.32x = 70,941,734.41
  5. Step 5: Solve for x
    x = 70,941,734.41/8,938.32
  6. Step 6: Final answer
    x = 7,936.81

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Why These Related Problems?

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