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Finding the Fourth Proportional to 10,298.12, 15,418.00 and 6,777.54

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Solution

The fourth proportional to 10,298.12, 15,418.00 and 6,777.54 is: 10,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.12 : 15,418.00 = 6,777.54 : x
  2. Step 2: Convert to fraction form
    10,298.12/15,418.00 = 6,777.54/x
  3. Step 3: Cross multiply
    10,298.12x = 15,418.00 × 6,777.54
  4. Step 4: Simplify right side
    10,298.12x = 104,496,082.07
  5. Step 5: Solve for x
    x = 104,496,082.07/10,298.12
  6. Step 6: Final answer
    x = 10,147.10

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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.