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Finding the Fourth Proportional to 8,014.16, 11,060 and 4,429.08

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Solution

The fourth proportional to 8,014.16, 11,060 and 4,429.08 is: 6,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.16 : 11,060 = 4,429.08 : x
  2. Step 2: Convert to fraction form
    8,014.16/11,060 = 4,429.08/x
  3. Step 3: Cross multiply
    8,014.16x = 11,060 × 4,429.08
  4. Step 4: Simplify right side
    8,014.16x = 48,985,624.80
  5. Step 5: Solve for x
    x = 48,985,624.80/8,014.16
  6. Step 6: Final answer
    x = 6,112.38

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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.