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Finding the Fourth Proportional to 10,284.37, 14,178.71 and 7,721.28

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Solution

The fourth proportional to 10,284.37, 14,178.71 and 7,721.28 is: 10,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.37 : 14,178.71 = 7,721.28 : x
  2. Step 2: Convert to fraction form
    10,284.37/14,178.71 = 7,721.28/x
  3. Step 3: Cross multiply
    10,284.37x = 14,178.71 × 7,721.28
  4. Step 4: Simplify right side
    10,284.37x = 109,477,789.95
  5. Step 5: Solve for x
    x = 109,477,789.95/10,284.37
  6. Step 6: Final answer
    x = 10,645.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.