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Finding the Fourth Proportional to 10,233.18, 15,346.80 and 3,655.80

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Solution

The fourth proportional to 10,233.18, 15,346.80 and 3,655.80 is: 5,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.18 : 15,346.80 = 3,655.80 : x
  2. Step 2: Convert to fraction form
    10,233.18/15,346.80 = 3,655.80/x
  3. Step 3: Cross multiply
    10,233.18x = 15,346.80 × 3,655.80
  4. Step 4: Simplify right side
    10,233.18x = 56,104,831.44
  5. Step 5: Solve for x
    x = 56,104,831.44/10,233.18
  6. Step 6: Final answer
    x = 5,482.64

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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.