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Finding the Fourth Proportional to 12,782.48, 17,639.56 and 7,117.04

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Solution

The fourth proportional to 12,782.48, 17,639.56 and 7,117.04 is: 9,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.48 : 17,639.56 = 7,117.04 : x
  2. Step 2: Convert to fraction form
    12,782.48/17,639.56 = 7,117.04/x
  3. Step 3: Cross multiply
    12,782.48x = 17,639.56 × 7,117.04
  4. Step 4: Simplify right side
    12,782.48x = 125,541,454.10
  5. Step 5: Solve for x
    x = 125,541,454.10/12,782.48
  6. Step 6: Final answer
    x = 9,821.37

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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.