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Finding the Fourth Proportional to 10,583.12, 15,863.34 and 5,033

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Solution

The fourth proportional to 10,583.12, 15,863.34 and 5,033 is: 7,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.12 : 15,863.34 = 5,033 : x
  2. Step 2: Convert to fraction form
    10,583.12/15,863.34 = 5,033/x
  3. Step 3: Cross multiply
    10,583.12x = 15,863.34 × 5,033
  4. Step 4: Simplify right side
    10,583.12x = 79,840,190.22
  5. Step 5: Solve for x
    x = 79,840,190.22/10,583.12
  6. Step 6: Final answer
    x = 7,544.11

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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.