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Finding the Fourth Proportional to 10,356.02, 15,522.86 and 5,084.90

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Solution

The fourth proportional to 10,356.02, 15,522.86 and 5,084.90 is: 7,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.02 : 15,522.86 = 5,084.90 : x
  2. Step 2: Convert to fraction form
    10,356.02/15,522.86 = 5,084.90/x
  3. Step 3: Cross multiply
    10,356.02x = 15,522.86 × 5,084.90
  4. Step 4: Simplify right side
    10,356.02x = 78,932,190.81
  5. Step 5: Solve for x
    x = 78,932,190.81/10,356.02
  6. Step 6: Final answer
    x = 7,621.87

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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.