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Finding the Fourth Proportional to 13,086.72, 19,629.88 and 5,290

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Solution

The fourth proportional to 13,086.72, 19,629.88 and 5,290 is: 7,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.72 : 19,629.88 = 5,290 : x
  2. Step 2: Convert to fraction form
    13,086.72/19,629.88 = 5,290/x
  3. Step 3: Cross multiply
    13,086.72x = 19,629.88 × 5,290
  4. Step 4: Simplify right side
    13,086.72x = 103,842,065.20
  5. Step 5: Solve for x
    x = 103,842,065.20/13,086.72
  6. Step 6: Final answer
    x = 7,934.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.