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Finding the Fourth Proportional to 10,249.34, 14,143.82 and 5,773.01

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Solution

The fourth proportional to 10,249.34, 14,143.82 and 5,773.01 is: 7,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.34 : 14,143.82 = 5,773.01 : x
  2. Step 2: Convert to fraction form
    10,249.34/14,143.82 = 5,773.01/x
  3. Step 3: Cross multiply
    10,249.34x = 14,143.82 × 5,773.01
  4. Step 4: Simplify right side
    10,249.34x = 81,652,314.71
  5. Step 5: Solve for x
    x = 81,652,314.71/10,249.34
  6. Step 6: Final answer
    x = 7,966.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.