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Finding the Fourth Proportional to 10,322.38, 14,254.32 and 7,505.98

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Solution

The fourth proportional to 10,322.38, 14,254.32 and 7,505.98 is: 10,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.38 : 14,254.32 = 7,505.98 : x
  2. Step 2: Convert to fraction form
    10,322.38/14,254.32 = 7,505.98/x
  3. Step 3: Cross multiply
    10,322.38x = 14,254.32 × 7,505.98
  4. Step 4: Simplify right side
    10,322.38x = 106,992,640.83
  5. Step 5: Solve for x
    x = 106,992,640.83/10,322.38
  6. Step 6: Final answer
    x = 10,365.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.