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Finding the Fourth Proportional to 10,298.96, 14,227.08 and 8,200.40

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Solution

The fourth proportional to 10,298.96, 14,227.08 and 8,200.40 is: 11,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.96 : 14,227.08 = 8,200.40 : x
  2. Step 2: Convert to fraction form
    10,298.96/14,227.08 = 8,200.40/x
  3. Step 3: Cross multiply
    10,298.96x = 14,227.08 × 8,200.40
  4. Step 4: Simplify right side
    10,298.96x = 116,667,746.83
  5. Step 5: Solve for x
    x = 116,667,746.83/10,298.96
  6. Step 6: Final answer
    x = 11,328.11

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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.