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Finding the Fourth Proportional to 8,060, 11,122.80 and 4,748

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Solution

The fourth proportional to 8,060, 11,122.80 and 4,748 is: 6,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,060 : 11,122.80 = 4,748 : x
  2. Step 2: Convert to fraction form
    8,060/11,122.80 = 4,748/x
  3. Step 3: Cross multiply
    8,060x = 11,122.80 × 4,748
  4. Step 4: Simplify right side
    8,060x = 52,811,054.40
  5. Step 5: Solve for x
    x = 52,811,054.40/8,060
  6. Step 6: Final answer
    x = 6,552.24

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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.