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Finding the Fourth Proportional to 10,574.75, 15,862.23 and 4,333.16

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Solution

The fourth proportional to 10,574.75, 15,862.23 and 4,333.16 is: 6,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.75 : 15,862.23 = 4,333.16 : x
  2. Step 2: Convert to fraction form
    10,574.75/15,862.23 = 4,333.16/x
  3. Step 3: Cross multiply
    10,574.75x = 15,862.23 × 4,333.16
  4. Step 4: Simplify right side
    10,574.75x = 68,733,501.24
  5. Step 5: Solve for x
    x = 68,733,501.24/10,574.75
  6. Step 6: Final answer
    x = 6,499.78

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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.