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Finding the Fourth Proportional to 12,782.60, 17,641.10 and 7,119.36

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Solution

The fourth proportional to 12,782.60, 17,641.10 and 7,119.36 is: 9,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.60 : 17,641.10 = 7,119.36 : x
  2. Step 2: Convert to fraction form
    12,782.60/17,641.10 = 7,119.36/x
  3. Step 3: Cross multiply
    12,782.60x = 17,641.10 × 7,119.36
  4. Step 4: Simplify right side
    12,782.60x = 125,593,341.70
  5. Step 5: Solve for x
    x = 125,593,341.70/12,782.60
  6. Step 6: Final answer
    x = 9,825.34

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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.