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Finding the Fourth Proportional to 7,407.52, 11,106.96 and 2,788

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Solution

The fourth proportional to 7,407.52, 11,106.96 and 2,788 is: 4,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.52 : 11,106.96 = 2,788 : x
  2. Step 2: Convert to fraction form
    7,407.52/11,106.96 = 2,788/x
  3. Step 3: Cross multiply
    7,407.52x = 11,106.96 × 2,788
  4. Step 4: Simplify right side
    7,407.52x = 30,966,204.48
  5. Step 5: Solve for x
    x = 30,966,204.48/7,407.52
  6. Step 6: Final answer
    x = 4,180.37

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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.