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Finding the Fourth Proportional to 7,709.52, 10,643.70 and 5,061.56

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Solution

The fourth proportional to 7,709.52, 10,643.70 and 5,061.56 is: 6,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.52 : 10,643.70 = 5,061.56 : x
  2. Step 2: Convert to fraction form
    7,709.52/10,643.70 = 5,061.56/x
  3. Step 3: Cross multiply
    7,709.52x = 10,643.70 × 5,061.56
  4. Step 4: Simplify right side
    7,709.52x = 53,873,726.17
  5. Step 5: Solve for x
    x = 53,873,726.17/7,709.52
  6. Step 6: Final answer
    x = 6,987.95

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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.