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Finding the Fourth Proportional to 8,140.66, 11,233.98 and 4,603.74

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Solution

The fourth proportional to 8,140.66, 11,233.98 and 4,603.74 is: 6,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.66 : 11,233.98 = 4,603.74 : x
  2. Step 2: Convert to fraction form
    8,140.66/11,233.98 = 4,603.74/x
  3. Step 3: Cross multiply
    8,140.66x = 11,233.98 × 4,603.74
  4. Step 4: Simplify right side
    8,140.66x = 51,718,323.09
  5. Step 5: Solve for x
    x = 51,718,323.09/8,140.66
  6. Step 6: Final answer
    x = 6,353.09

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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.