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Finding the Fourth Proportional to 10,353.60, 14,278.80 and 8,363.52

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Solution

The fourth proportional to 10,353.60, 14,278.80 and 8,363.52 is: 11,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.60 : 14,278.80 = 8,363.52 : x
  2. Step 2: Convert to fraction form
    10,353.60/14,278.80 = 8,363.52/x
  3. Step 3: Cross multiply
    10,353.60x = 14,278.80 × 8,363.52
  4. Step 4: Simplify right side
    10,353.60x = 119,421,029.38
  5. Step 5: Solve for x
    x = 119,421,029.38/10,353.60
  6. Step 6: Final answer
    x = 11,534.25

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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.