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Finding the Fourth Proportional to 8,901.72, 12,284.72 and 5,912.40

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Solution

The fourth proportional to 8,901.72, 12,284.72 and 5,912.40 is: 8,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.72 : 12,284.72 = 5,912.40 : x
  2. Step 2: Convert to fraction form
    8,901.72/12,284.72 = 5,912.40/x
  3. Step 3: Cross multiply
    8,901.72x = 12,284.72 × 5,912.40
  4. Step 4: Simplify right side
    8,901.72x = 72,632,178.53
  5. Step 5: Solve for x
    x = 72,632,178.53/8,901.72
  6. Step 6: Final answer
    x = 8,159.34

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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.