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Finding the Fourth Proportional to 10,226.13, 15,333 and 6,670.91

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Solution

The fourth proportional to 10,226.13, 15,333 and 6,670.91 is: 10,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.13 : 15,333 = 6,670.91 : x
  2. Step 2: Convert to fraction form
    10,226.13/15,333 = 6,670.91/x
  3. Step 3: Cross multiply
    10,226.13x = 15,333 × 6,670.91
  4. Step 4: Simplify right side
    10,226.13x = 102,284,986.37
  5. Step 5: Solve for x
    x = 102,284,986.37/10,226.13
  6. Step 6: Final answer
    x = 10,002.32

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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.