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Finding the Fourth Proportional to 11,400.88, 15,733.40 and 6,685.24

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Solution

The fourth proportional to 11,400.88, 15,733.40 and 6,685.24 is: 9,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.88 : 15,733.40 = 6,685.24 : x
  2. Step 2: Convert to fraction form
    11,400.88/15,733.40 = 6,685.24/x
  3. Step 3: Cross multiply
    11,400.88x = 15,733.40 × 6,685.24
  4. Step 4: Simplify right side
    11,400.88x = 105,181,555.02
  5. Step 5: Solve for x
    x = 105,181,555.02/11,400.88
  6. Step 6: Final answer
    x = 9,225.74

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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.