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Finding the Fourth Proportional to 6,864.83, 10,308.64 and 4,284.17

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Solution

The fourth proportional to 6,864.83, 10,308.64 and 4,284.17 is: 6,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.83 : 10,308.64 = 4,284.17 : x
  2. Step 2: Convert to fraction form
    6,864.83/10,308.64 = 4,284.17/x
  3. Step 3: Cross multiply
    6,864.83x = 10,308.64 × 4,284.17
  4. Step 4: Simplify right side
    6,864.83x = 44,163,966.23
  5. Step 5: Solve for x
    x = 44,163,966.23/6,864.83
  6. Step 6: Final answer
    x = 6,433.37

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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.