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Finding the Fourth Proportional to 11,557.94, 15,959.43 and 7,315.88

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Solution

The fourth proportional to 11,557.94, 15,959.43 and 7,315.88 is: 10,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.94 : 15,959.43 = 7,315.88 : x
  2. Step 2: Convert to fraction form
    11,557.94/15,959.43 = 7,315.88/x
  3. Step 3: Cross multiply
    11,557.94x = 15,959.43 × 7,315.88
  4. Step 4: Simplify right side
    11,557.94x = 116,757,194.95
  5. Step 5: Solve for x
    x = 116,757,194.95/11,557.94
  6. Step 6: Final answer
    x = 10,101.91

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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.