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Finding the Fourth Proportional to 10,181.94, 15,277.50 and 6,483.22

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Solution

The fourth proportional to 10,181.94, 15,277.50 and 6,483.22 is: 9,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.94 : 15,277.50 = 6,483.22 : x
  2. Step 2: Convert to fraction form
    10,181.94/15,277.50 = 6,483.22/x
  3. Step 3: Cross multiply
    10,181.94x = 15,277.50 × 6,483.22
  4. Step 4: Simplify right side
    10,181.94x = 99,047,393.55
  5. Step 5: Solve for x
    x = 99,047,393.55/10,181.94
  6. Step 6: Final answer
    x = 9,727.75

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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.