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Finding the Fourth Proportional to 7,038.97, 9,715.11 and 5,027.83

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Solution

The fourth proportional to 7,038.97, 9,715.11 and 5,027.83 is: 6,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.97 : 9,715.11 = 5,027.83 : x
  2. Step 2: Convert to fraction form
    7,038.97/9,715.11 = 5,027.83/x
  3. Step 3: Cross multiply
    7,038.97x = 9,715.11 × 5,027.83
  4. Step 4: Simplify right side
    7,038.97x = 48,845,921.51
  5. Step 5: Solve for x
    x = 48,845,921.51/7,038.97
  6. Step 6: Final answer
    x = 6,939.36

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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.