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Finding the Fourth Proportional to 10,003.68, 15,005.16 and 3,078

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Solution

The fourth proportional to 10,003.68, 15,005.16 and 3,078 is: 4,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.68 : 15,005.16 = 3,078 : x
  2. Step 2: Convert to fraction form
    10,003.68/15,005.16 = 3,078/x
  3. Step 3: Cross multiply
    10,003.68x = 15,005.16 × 3,078
  4. Step 4: Simplify right side
    10,003.68x = 46,185,882.48
  5. Step 5: Solve for x
    x = 46,185,882.48/10,003.68
  6. Step 6: Final answer
    x = 4,616.89

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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.