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Finding the Fourth Proportional to 10,606.56, 15,924.24 and 7,311.48

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Solution

The fourth proportional to 10,606.56, 15,924.24 and 7,311.48 is: 10,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.56 : 15,924.24 = 7,311.48 : x
  2. Step 2: Convert to fraction form
    10,606.56/15,924.24 = 7,311.48/x
  3. Step 3: Cross multiply
    10,606.56x = 15,924.24 × 7,311.48
  4. Step 4: Simplify right side
    10,606.56x = 116,429,762.28
  5. Step 5: Solve for x
    x = 116,429,762.28/10,606.56
  6. Step 6: Final answer
    x = 10,977.15

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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.