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Finding the Fourth Proportional to 10,228.85, 15,341.06 and 3,655.49

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Solution

The fourth proportional to 10,228.85, 15,341.06 and 3,655.49 is: 5,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.85 : 15,341.06 = 3,655.49 : x
  2. Step 2: Convert to fraction form
    10,228.85/15,341.06 = 3,655.49/x
  3. Step 3: Cross multiply
    10,228.85x = 15,341.06 × 3,655.49
  4. Step 4: Simplify right side
    10,228.85x = 56,079,073.14
  5. Step 5: Solve for x
    x = 56,079,073.14/10,228.85
  6. Step 6: Final answer
    x = 5,482.44

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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.