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Finding the Fourth Proportional to 10,383.20, 14,332.88 and 7,028

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Solution

The fourth proportional to 10,383.20, 14,332.88 and 7,028 is: 9,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.20 : 14,332.88 = 7,028 : x
  2. Step 2: Convert to fraction form
    10,383.20/14,332.88 = 7,028/x
  3. Step 3: Cross multiply
    10,383.20x = 14,332.88 × 7,028
  4. Step 4: Simplify right side
    10,383.20x = 100,731,480.64
  5. Step 5: Solve for x
    x = 100,731,480.64/10,383.20
  6. Step 6: Final answer
    x = 9,701.39

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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.