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Finding the Fourth Proportional to 10,356.80, 15,522.23 and 5,164.16

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Solution

The fourth proportional to 10,356.80, 15,522.23 and 5,164.16 is: 7,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.80 : 15,522.23 = 5,164.16 : x
  2. Step 2: Convert to fraction form
    10,356.80/15,522.23 = 5,164.16/x
  3. Step 3: Cross multiply
    10,356.80x = 15,522.23 × 5,164.16
  4. Step 4: Simplify right side
    10,356.80x = 80,159,214.58
  5. Step 5: Solve for x
    x = 80,159,214.58/10,356.80
  6. Step 6: Final answer
    x = 7,739.77

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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.