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Finding the Fourth Proportional to 10,500.66, 14,488.38 and 6,915.24

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Solution

The fourth proportional to 10,500.66, 14,488.38 and 6,915.24 is: 9,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.66 : 14,488.38 = 6,915.24 : x
  2. Step 2: Convert to fraction form
    10,500.66/14,488.38 = 6,915.24/x
  3. Step 3: Cross multiply
    10,500.66x = 14,488.38 × 6,915.24
  4. Step 4: Simplify right side
    10,500.66x = 100,190,624.91
  5. Step 5: Solve for x
    x = 100,190,624.91/10,500.66
  6. Step 6: Final answer
    x = 9,541.36

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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.