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Finding the Fourth Proportional to 10,332.12, 14,234.22 and 7,182.84

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Solution

The fourth proportional to 10,332.12, 14,234.22 and 7,182.84 is: 9,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.12 : 14,234.22 = 7,182.84 : x
  2. Step 2: Convert to fraction form
    10,332.12/14,234.22 = 7,182.84/x
  3. Step 3: Cross multiply
    10,332.12x = 14,234.22 × 7,182.84
  4. Step 4: Simplify right side
    10,332.12x = 102,242,124.78
  5. Step 5: Solve for x
    x = 102,242,124.78/10,332.12
  6. Step 6: Final answer
    x = 9,895.56

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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.