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Finding the Fourth Proportional to 10,320.48, 14,239.80 and 8,065.44

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Solution

The fourth proportional to 10,320.48, 14,239.80 and 8,065.44 is: 11,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.48 : 14,239.80 = 8,065.44 : x
  2. Step 2: Convert to fraction form
    10,320.48/14,239.80 = 8,065.44/x
  3. Step 3: Cross multiply
    10,320.48x = 14,239.80 × 8,065.44
  4. Step 4: Simplify right side
    10,320.48x = 114,850,252.51
  5. Step 5: Solve for x
    x = 114,850,252.51/10,320.48
  6. Step 6: Final answer
    x = 11,128.38

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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.