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Finding the Fourth Proportional to 10,203.84, 15,291.50 and 5,513.74

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Solution

The fourth proportional to 10,203.84, 15,291.50 and 5,513.74 is: 8,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.84 : 15,291.50 = 5,513.74 : x
  2. Step 2: Convert to fraction form
    10,203.84/15,291.50 = 5,513.74/x
  3. Step 3: Cross multiply
    10,203.84x = 15,291.50 × 5,513.74
  4. Step 4: Simplify right side
    10,203.84x = 84,313,289.41
  5. Step 5: Solve for x
    x = 84,313,289.41/10,203.84
  6. Step 6: Final answer
    x = 8,262.90

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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.