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Finding the Fourth Proportional to 11,433.21, 15,775.86 and 6,718.47

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Solution

The fourth proportional to 11,433.21, 15,775.86 and 6,718.47 is: 9,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.21 : 15,775.86 = 6,718.47 : x
  2. Step 2: Convert to fraction form
    11,433.21/15,775.86 = 6,718.47/x
  3. Step 3: Cross multiply
    11,433.21x = 15,775.86 × 6,718.47
  4. Step 4: Simplify right side
    11,433.21x = 105,989,642.13
  5. Step 5: Solve for x
    x = 105,989,642.13/11,433.21
  6. Step 6: Final answer
    x = 9,270.33

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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.