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Finding the Fourth Proportional to 10,853.40, 16,279.80 and 3,458.40

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Solution

The fourth proportional to 10,853.40, 16,279.80 and 3,458.40 is: 5,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.40 : 16,279.80 = 3,458.40 : x
  2. Step 2: Convert to fraction form
    10,853.40/16,279.80 = 3,458.40/x
  3. Step 3: Cross multiply
    10,853.40x = 16,279.80 × 3,458.40
  4. Step 4: Simplify right side
    10,853.40x = 56,302,060.32
  5. Step 5: Solve for x
    x = 56,302,060.32/10,853.40
  6. Step 6: Final answer
    x = 5,187.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.