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Finding the Fourth Proportional to 8,264.66, 11,405.25 and 4,538.90

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Solution

The fourth proportional to 8,264.66, 11,405.25 and 4,538.90 is: 6,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.66 : 11,405.25 = 4,538.90 : x
  2. Step 2: Convert to fraction form
    8,264.66/11,405.25 = 4,538.90/x
  3. Step 3: Cross multiply
    8,264.66x = 11,405.25 × 4,538.90
  4. Step 4: Simplify right side
    8,264.66x = 51,767,289.23
  5. Step 5: Solve for x
    x = 51,767,289.23/8,264.66
  6. Step 6: Final answer
    x = 6,263.69

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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.