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Finding the Fourth Proportional to 7,438.01, 11,158.04 and 2,509.06

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Solution

The fourth proportional to 7,438.01, 11,158.04 and 2,509.06 is: 3,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.01 : 11,158.04 = 2,509.06 : x
  2. Step 2: Convert to fraction form
    7,438.01/11,158.04 = 2,509.06/x
  3. Step 3: Cross multiply
    7,438.01x = 11,158.04 × 2,509.06
  4. Step 4: Simplify right side
    7,438.01x = 27,996,191.84
  5. Step 5: Solve for x
    x = 27,996,191.84/7,438.01
  6. Step 6: Final answer
    x = 3,763.94

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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.