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Finding the Fourth Proportional to 10,222.94, 15,363.57 and 5,032.46

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Solution

The fourth proportional to 10,222.94, 15,363.57 and 5,032.46 is: 7,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.94 : 15,363.57 = 5,032.46 : x
  2. Step 2: Convert to fraction form
    10,222.94/15,363.57 = 5,032.46/x
  3. Step 3: Cross multiply
    10,222.94x = 15,363.57 × 5,032.46
  4. Step 4: Simplify right side
    10,222.94x = 77,316,551.48
  5. Step 5: Solve for x
    x = 77,316,551.48/10,222.94
  6. Step 6: Final answer
    x = 7,563.04

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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.