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Finding the Fourth Proportional to 10,524.38, 14,525.53 and 6,275.72

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Solution

The fourth proportional to 10,524.38, 14,525.53 and 6,275.72 is: 8,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.38 : 14,525.53 = 6,275.72 : x
  2. Step 2: Convert to fraction form
    10,524.38/14,525.53 = 6,275.72/x
  3. Step 3: Cross multiply
    10,524.38x = 14,525.53 × 6,275.72
  4. Step 4: Simplify right side
    10,524.38x = 91,158,159.13
  5. Step 5: Solve for x
    x = 91,158,159.13/10,524.38
  6. Step 6: Final answer
    x = 8,661.62

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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.