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Finding the Fourth Proportional to 12,785.51, 17,644.73 and 7,750.17

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Solution

The fourth proportional to 12,785.51, 17,644.73 and 7,750.17 is: 10,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.51 : 17,644.73 = 7,750.17 : x
  2. Step 2: Convert to fraction form
    12,785.51/17,644.73 = 7,750.17/x
  3. Step 3: Cross multiply
    12,785.51x = 17,644.73 × 7,750.17
  4. Step 4: Simplify right side
    12,785.51x = 136,749,618.35
  5. Step 5: Solve for x
    x = 136,749,618.35/12,785.51
  6. Step 6: Final answer
    x = 10,695.67

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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.