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Finding the Fourth Proportional to 10,337.64, 15,494.04 and 4,783.44

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Solution

The fourth proportional to 10,337.64, 15,494.04 and 4,783.44 is: 7,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.64 : 15,494.04 = 4,783.44 : x
  2. Step 2: Convert to fraction form
    10,337.64/15,494.04 = 4,783.44/x
  3. Step 3: Cross multiply
    10,337.64x = 15,494.04 × 4,783.44
  4. Step 4: Simplify right side
    10,337.64x = 74,114,810.70
  5. Step 5: Solve for x
    x = 74,114,810.70/10,337.64
  6. Step 6: Final answer
    x = 7,169.41

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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.