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Finding the Fourth Proportional to 10,805.53, 14,915.32 and 6,330.71

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Solution

The fourth proportional to 10,805.53, 14,915.32 and 6,330.71 is: 8,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.53 : 14,915.32 = 6,330.71 : x
  2. Step 2: Convert to fraction form
    10,805.53/14,915.32 = 6,330.71/x
  3. Step 3: Cross multiply
    10,805.53x = 14,915.32 × 6,330.71
  4. Step 4: Simplify right side
    10,805.53x = 94,424,565.48
  5. Step 5: Solve for x
    x = 94,424,565.48/10,805.53
  6. Step 6: Final answer
    x = 8,738.54

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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.