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Finding the Fourth Proportional to 10,018.17, 13,820.72 and 6,037.02

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Solution

The fourth proportional to 10,018.17, 13,820.72 and 6,037.02 is: 8,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.17 : 13,820.72 = 6,037.02 : x
  2. Step 2: Convert to fraction form
    10,018.17/13,820.72 = 6,037.02/x
  3. Step 3: Cross multiply
    10,018.17x = 13,820.72 × 6,037.02
  4. Step 4: Simplify right side
    10,018.17x = 83,435,932.87
  5. Step 5: Solve for x
    x = 83,435,932.87/10,018.17
  6. Step 6: Final answer
    x = 8,328.46

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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.