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Finding the Fourth Proportional to 10,853.24, 14,978.16 and 6,073.60

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Solution

The fourth proportional to 10,853.24, 14,978.16 and 6,073.60 is: 8,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.24 : 14,978.16 = 6,073.60 : x
  2. Step 2: Convert to fraction form
    10,853.24/14,978.16 = 6,073.60/x
  3. Step 3: Cross multiply
    10,853.24x = 14,978.16 × 6,073.60
  4. Step 4: Simplify right side
    10,853.24x = 90,971,352.58
  5. Step 5: Solve for x
    x = 90,971,352.58/10,853.24
  6. Step 6: Final answer
    x = 8,381.95

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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.