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Finding the Fourth Proportional to 10,642.16, 14,684.82 and 5,925.80

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Solution

The fourth proportional to 10,642.16, 14,684.82 and 5,925.80 is: 8,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.16 : 14,684.82 = 5,925.80 : x
  2. Step 2: Convert to fraction form
    10,642.16/14,684.82 = 5,925.80/x
  3. Step 3: Cross multiply
    10,642.16x = 14,684.82 × 5,925.80
  4. Step 4: Simplify right side
    10,642.16x = 87,019,306.36
  5. Step 5: Solve for x
    x = 87,019,306.36/10,642.16
  6. Step 6: Final answer
    x = 8,176.85

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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.