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Finding the Fourth Proportional to 10,298.34, 15,440.81 and 6,777.68

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Solution

The fourth proportional to 10,298.34, 15,440.81 and 6,777.68 is: 10,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.34 : 15,440.81 = 6,777.68 : x
  2. Step 2: Convert to fraction form
    10,298.34/15,440.81 = 6,777.68/x
  3. Step 3: Cross multiply
    10,298.34x = 15,440.81 × 6,777.68
  4. Step 4: Simplify right side
    10,298.34x = 104,652,758.03
  5. Step 5: Solve for x
    x = 104,652,758.03/10,298.34
  6. Step 6: Final answer
    x = 10,162.10

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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.