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Finding the Fourth Proportional to 10,832.18, 14,927.79 and 7,468.91

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Solution

The fourth proportional to 10,832.18, 14,927.79 and 7,468.91 is: 10,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.18 : 14,927.79 = 7,468.91 : x
  2. Step 2: Convert to fraction form
    10,832.18/14,927.79 = 7,468.91/x
  3. Step 3: Cross multiply
    10,832.18x = 14,927.79 × 7,468.91
  4. Step 4: Simplify right side
    10,832.18x = 111,494,329.36
  5. Step 5: Solve for x
    x = 111,494,329.36/10,832.18
  6. Step 6: Final answer
    x = 10,292.88

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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.