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Finding the Fourth Proportional to 10,330.53, 14,256.19 and 5,614.82

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Solution

The fourth proportional to 10,330.53, 14,256.19 and 5,614.82 is: 7,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.53 : 14,256.19 = 5,614.82 : x
  2. Step 2: Convert to fraction form
    10,330.53/14,256.19 = 5,614.82/x
  3. Step 3: Cross multiply
    10,330.53x = 14,256.19 × 5,614.82
  4. Step 4: Simplify right side
    10,330.53x = 80,045,841.38
  5. Step 5: Solve for x
    x = 80,045,841.38/10,330.53
  6. Step 6: Final answer
    x = 7,748.47

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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.