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Finding the Fourth Proportional to 10,004.64, 15,016.38 and 5,077.82

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Solution

The fourth proportional to 10,004.64, 15,016.38 and 5,077.82 is: 7,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.64 : 15,016.38 = 5,077.82 : x
  2. Step 2: Convert to fraction form
    10,004.64/15,016.38 = 5,077.82/x
  3. Step 3: Cross multiply
    10,004.64x = 15,016.38 × 5,077.82
  4. Step 4: Simplify right side
    10,004.64x = 76,250,374.22
  5. Step 5: Solve for x
    x = 76,250,374.22/10,004.64
  6. Step 6: Final answer
    x = 7,621.50

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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.