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Finding the Fourth Proportional to 7,501, 11,252.06 and 2,884

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Solution

The fourth proportional to 7,501, 11,252.06 and 2,884 is: 4,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501 : 11,252.06 = 2,884 : x
  2. Step 2: Convert to fraction form
    7,501/11,252.06 = 2,884/x
  3. Step 3: Cross multiply
    7,501x = 11,252.06 × 2,884
  4. Step 4: Simplify right side
    7,501x = 32,450,941.04
  5. Step 5: Solve for x
    x = 32,450,941.04/7,501
  6. Step 6: Final answer
    x = 4,326.22

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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.