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Finding the Fourth Proportional to 10,208.61, 15,303.20 and 3,278.25

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Solution

The fourth proportional to 10,208.61, 15,303.20 and 3,278.25 is: 4,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.61 : 15,303.20 = 3,278.25 : x
  2. Step 2: Convert to fraction form
    10,208.61/15,303.20 = 3,278.25/x
  3. Step 3: Cross multiply
    10,208.61x = 15,303.20 × 3,278.25
  4. Step 4: Simplify right side
    10,208.61x = 50,167,699.01
  5. Step 5: Solve for x
    x = 50,167,699.01/10,208.61
  6. Step 6: Final answer
    x = 4,914.25

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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.