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Finding the Fourth Proportional to 10,294.64, 15,445.80 and 4,750.64

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Solution

The fourth proportional to 10,294.64, 15,445.80 and 4,750.64 is: 7,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.64 : 15,445.80 = 4,750.64 : x
  2. Step 2: Convert to fraction form
    10,294.64/15,445.80 = 4,750.64/x
  3. Step 3: Cross multiply
    10,294.64x = 15,445.80 × 4,750.64
  4. Step 4: Simplify right side
    10,294.64x = 73,377,435.31
  5. Step 5: Solve for x
    x = 73,377,435.31/10,294.64
  6. Step 6: Final answer
    x = 7,127.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.