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Finding the Fourth Proportional to 7,389.50, 11,089.28 and 3,007.76

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Solution

The fourth proportional to 7,389.50, 11,089.28 and 3,007.76 is: 4,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.50 : 11,089.28 = 3,007.76 : x
  2. Step 2: Convert to fraction form
    7,389.50/11,089.28 = 3,007.76/x
  3. Step 3: Cross multiply
    7,389.50x = 11,089.28 × 3,007.76
  4. Step 4: Simplify right side
    7,389.50x = 33,353,822.33
  5. Step 5: Solve for x
    x = 33,353,822.33/7,389.50
  6. Step 6: Final answer
    x = 4,513.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.