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Finding the Fourth Proportional to 10,822.11, 14,924.16 and 6,573.87

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Solution

The fourth proportional to 10,822.11, 14,924.16 and 6,573.87 is: 9,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.11 : 14,924.16 = 6,573.87 : x
  2. Step 2: Convert to fraction form
    10,822.11/14,924.16 = 6,573.87/x
  3. Step 3: Cross multiply
    10,822.11x = 14,924.16 × 6,573.87
  4. Step 4: Simplify right side
    10,822.11x = 98,109,487.70
  5. Step 5: Solve for x
    x = 98,109,487.70/10,822.11
  6. Step 6: Final answer
    x = 9,065.65

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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.