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Finding the Fourth Proportional to 7,124.98, 10,688.64 and 2,194.51

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Solution

The fourth proportional to 7,124.98, 10,688.64 and 2,194.51 is: 3,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.98 : 10,688.64 = 2,194.51 : x
  2. Step 2: Convert to fraction form
    7,124.98/10,688.64 = 2,194.51/x
  3. Step 3: Cross multiply
    7,124.98x = 10,688.64 × 2,194.51
  4. Step 4: Simplify right side
    7,124.98x = 23,456,327.37
  5. Step 5: Solve for x
    x = 23,456,327.37/7,124.98
  6. Step 6: Final answer
    x = 3,292.13

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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.