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Finding the Fourth Proportional to 10,214.08, 15,320.94 and 5,822.17

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Solution

The fourth proportional to 10,214.08, 15,320.94 and 5,822.17 is: 8,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.08 : 15,320.94 = 5,822.17 : x
  2. Step 2: Convert to fraction form
    10,214.08/15,320.94 = 5,822.17/x
  3. Step 3: Cross multiply
    10,214.08x = 15,320.94 × 5,822.17
  4. Step 4: Simplify right side
    10,214.08x = 89,201,117.24
  5. Step 5: Solve for x
    x = 89,201,117.24/10,214.08
  6. Step 6: Final answer
    x = 8,733.15

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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.