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Finding the Fourth Proportional to 10,786, 14,883.06 and 6,070.18

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Solution

The fourth proportional to 10,786, 14,883.06 and 6,070.18 is: 8,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 14,883.06 = 6,070.18 : x
  2. Step 2: Convert to fraction form
    10,786/14,883.06 = 6,070.18/x
  3. Step 3: Cross multiply
    10,786x = 14,883.06 × 6,070.18
  4. Step 4: Simplify right side
    10,786x = 90,342,853.15
  5. Step 5: Solve for x
    x = 90,342,853.15/10,786
  6. Step 6: Final answer
    x = 8,375.94

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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.