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Finding the Fourth Proportional to 12,702.86, 17,529.24 and 7,037.16

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Solution

The fourth proportional to 12,702.86, 17,529.24 and 7,037.16 is: 9,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.86 : 17,529.24 = 7,037.16 : x
  2. Step 2: Convert to fraction form
    12,702.86/17,529.24 = 7,037.16/x
  3. Step 3: Cross multiply
    12,702.86x = 17,529.24 × 7,037.16
  4. Step 4: Simplify right side
    12,702.86x = 123,356,027.21
  5. Step 5: Solve for x
    x = 123,356,027.21/12,702.86
  6. Step 6: Final answer
    x = 9,710.89

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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.