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Finding the Fourth Proportional to 10,480.56, 14,459.64 and 7,117.55

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Solution

The fourth proportional to 10,480.56, 14,459.64 and 7,117.55 is: 9,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.56 : 14,459.64 = 7,117.55 : x
  2. Step 2: Convert to fraction form
    10,480.56/14,459.64 = 7,117.55/x
  3. Step 3: Cross multiply
    10,480.56x = 14,459.64 × 7,117.55
  4. Step 4: Simplify right side
    10,480.56x = 102,917,138.38
  5. Step 5: Solve for x
    x = 102,917,138.38/10,480.56
  6. Step 6: Final answer
    x = 9,819.81

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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.