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Finding the Fourth Proportional to 8,362.84, 12,545.48 and 4,465.12

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Solution

The fourth proportional to 8,362.84, 12,545.48 and 4,465.12 is: 6,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.84 : 12,545.48 = 4,465.12 : x
  2. Step 2: Convert to fraction form
    8,362.84/12,545.48 = 4,465.12/x
  3. Step 3: Cross multiply
    8,362.84x = 12,545.48 × 4,465.12
  4. Step 4: Simplify right side
    8,362.84x = 56,017,073.66
  5. Step 5: Solve for x
    x = 56,017,073.66/8,362.84
  6. Step 6: Final answer
    x = 6,698.33

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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.