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Finding the Fourth Proportional to 7,387.81, 11,089.64 and 4,103.67

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Solution

The fourth proportional to 7,387.81, 11,089.64 and 4,103.67 is: 6,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.81 : 11,089.64 = 4,103.67 : x
  2. Step 2: Convert to fraction form
    7,387.81/11,089.64 = 4,103.67/x
  3. Step 3: Cross multiply
    7,387.81x = 11,089.64 × 4,103.67
  4. Step 4: Simplify right side
    7,387.81x = 45,508,222.98
  5. Step 5: Solve for x
    x = 45,508,222.98/7,387.81
  6. Step 6: Final answer
    x = 6,159.91

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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.