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Finding the Fourth Proportional to 10,169.76, 14,032.08 and 5,920.32

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Solution

The fourth proportional to 10,169.76, 14,032.08 and 5,920.32 is: 8,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.76 : 14,032.08 = 5,920.32 : x
  2. Step 2: Convert to fraction form
    10,169.76/14,032.08 = 5,920.32/x
  3. Step 3: Cross multiply
    10,169.76x = 14,032.08 × 5,920.32
  4. Step 4: Simplify right side
    10,169.76x = 83,074,403.87
  5. Step 5: Solve for x
    x = 83,074,403.87/10,169.76
  6. Step 6: Final answer
    x = 8,168.77

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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.