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Finding the Fourth Proportional to 10,208.64, 15,317.12 and 3,638.40

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Solution

The fourth proportional to 10,208.64, 15,317.12 and 3,638.40 is: 5,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.64 : 15,317.12 = 3,638.40 : x
  2. Step 2: Convert to fraction form
    10,208.64/15,317.12 = 3,638.40/x
  3. Step 3: Cross multiply
    10,208.64x = 15,317.12 × 3,638.40
  4. Step 4: Simplify right side
    10,208.64x = 55,729,809.41
  5. Step 5: Solve for x
    x = 55,729,809.41/10,208.64
  6. Step 6: Final answer
    x = 5,459.08

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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.