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Finding the Fourth Proportional to 8,906.71, 13,366.02 and 4,749.58

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Solution

The fourth proportional to 8,906.71, 13,366.02 and 4,749.58 is: 7,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.71 : 13,366.02 = 4,749.58 : x
  2. Step 2: Convert to fraction form
    8,906.71/13,366.02 = 4,749.58/x
  3. Step 3: Cross multiply
    8,906.71x = 13,366.02 × 4,749.58
  4. Step 4: Simplify right side
    8,906.71x = 63,482,981.27
  5. Step 5: Solve for x
    x = 63,482,981.27/8,906.71
  6. Step 6: Final answer
    x = 7,127.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.