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Finding the Fourth Proportional to 10,527.38, 14,521.38 and 6,275.65

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Solution

The fourth proportional to 10,527.38, 14,521.38 and 6,275.65 is: 8,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.38 : 14,521.38 = 6,275.65 : x
  2. Step 2: Convert to fraction form
    10,527.38/14,521.38 = 6,275.65/x
  3. Step 3: Cross multiply
    10,527.38x = 14,521.38 × 6,275.65
  4. Step 4: Simplify right side
    10,527.38x = 91,131,098.40
  5. Step 5: Solve for x
    x = 91,131,098.40/10,527.38
  6. Step 6: Final answer
    x = 8,656.58

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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.