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Finding the Fourth Proportional to 10,640.16, 14,684.16 and 5,925.36

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Solution

The fourth proportional to 10,640.16, 14,684.16 and 5,925.36 is: 8,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.16 : 14,684.16 = 5,925.36 : x
  2. Step 2: Convert to fraction form
    10,640.16/14,684.16 = 5,925.36/x
  3. Step 3: Cross multiply
    10,640.16x = 14,684.16 × 5,925.36
  4. Step 4: Simplify right side
    10,640.16x = 87,008,934.30
  5. Step 5: Solve for x
    x = 87,008,934.30/10,640.16
  6. Step 6: Final answer
    x = 8,177.41

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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.