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Finding the Fourth Proportional to 6,511.47, 9,767.21 and 5,535.53

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Solution

The fourth proportional to 6,511.47, 9,767.21 and 5,535.53 is: 8,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.47 : 9,767.21 = 5,535.53 : x
  2. Step 2: Convert to fraction form
    6,511.47/9,767.21 = 5,535.53/x
  3. Step 3: Cross multiply
    6,511.47x = 9,767.21 × 5,535.53
  4. Step 4: Simplify right side
    6,511.47x = 54,066,607.46
  5. Step 5: Solve for x
    x = 54,066,607.46/6,511.47
  6. Step 6: Final answer
    x = 8,303.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.