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Finding the Fourth Proportional to 10,131.84, 15,200.10 and 3,206.34

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Solution

The fourth proportional to 10,131.84, 15,200.10 and 3,206.34 is: 4,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.84 : 15,200.10 = 3,206.34 : x
  2. Step 2: Convert to fraction form
    10,131.84/15,200.10 = 3,206.34/x
  3. Step 3: Cross multiply
    10,131.84x = 15,200.10 × 3,206.34
  4. Step 4: Simplify right side
    10,131.84x = 48,736,688.63
  5. Step 5: Solve for x
    x = 48,736,688.63/10,131.84
  6. Step 6: Final answer
    x = 4,810.25

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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.