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Finding the Fourth Proportional to 8,678.90, 11,973.66 and 5,696.40

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Solution

The fourth proportional to 8,678.90, 11,973.66 and 5,696.40 is: 7,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.90 : 11,973.66 = 5,696.40 : x
  2. Step 2: Convert to fraction form
    8,678.90/11,973.66 = 5,696.40/x
  3. Step 3: Cross multiply
    8,678.90x = 11,973.66 × 5,696.40
  4. Step 4: Simplify right side
    8,678.90x = 68,206,756.82
  5. Step 5: Solve for x
    x = 68,206,756.82/8,678.90
  6. Step 6: Final answer
    x = 7,858.92

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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.