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Finding the Fourth Proportional to 10,867.64, 16,289.42 and 7,114.92

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Solution

The fourth proportional to 10,867.64, 16,289.42 and 7,114.92 is: 10,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.64 : 16,289.42 = 7,114.92 : x
  2. Step 2: Convert to fraction form
    10,867.64/16,289.42 = 7,114.92/x
  3. Step 3: Cross multiply
    10,867.64x = 16,289.42 × 7,114.92
  4. Step 4: Simplify right side
    10,867.64x = 115,897,920.15
  5. Step 5: Solve for x
    x = 115,897,920.15/10,867.64
  6. Step 6: Final answer
    x = 10,664.50

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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.