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Finding the Fourth Proportional to 10,785.22, 14,865.69 and 7,422.34

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Solution

The fourth proportional to 10,785.22, 14,865.69 and 7,422.34 is: 10,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.22 : 14,865.69 = 7,422.34 : x
  2. Step 2: Convert to fraction form
    10,785.22/14,865.69 = 7,422.34/x
  3. Step 3: Cross multiply
    10,785.22x = 14,865.69 × 7,422.34
  4. Step 4: Simplify right side
    10,785.22x = 110,338,205.51
  5. Step 5: Solve for x
    x = 110,338,205.51/10,785.22
  6. Step 6: Final answer
    x = 10,230.50

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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.