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Finding the Fourth Proportional to 10,226.16, 15,320.10 and 5,830.32

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Solution

The fourth proportional to 10,226.16, 15,320.10 and 5,830.32 is: 8,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.16 : 15,320.10 = 5,830.32 : x
  2. Step 2: Convert to fraction form
    10,226.16/15,320.10 = 5,830.32/x
  3. Step 3: Cross multiply
    10,226.16x = 15,320.10 × 5,830.32
  4. Step 4: Simplify right side
    10,226.16x = 89,321,085.43
  5. Step 5: Solve for x
    x = 89,321,085.43/10,226.16
  6. Step 6: Final answer
    x = 8,734.57

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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.