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Finding the Fourth Proportional to 10,209.64, 15,315.30 and 4,366.30

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Solution

The fourth proportional to 10,209.64, 15,315.30 and 4,366.30 is: 6,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.64 : 15,315.30 = 4,366.30 : x
  2. Step 2: Convert to fraction form
    10,209.64/15,315.30 = 4,366.30/x
  3. Step 3: Cross multiply
    10,209.64x = 15,315.30 × 4,366.30
  4. Step 4: Simplify right side
    10,209.64x = 66,871,194.39
  5. Step 5: Solve for x
    x = 66,871,194.39/10,209.64
  6. Step 6: Final answer
    x = 6,549.81

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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.