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Finding the Fourth Proportional to 7,602.87, 11,403.87 and 2,055.80

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Solution

The fourth proportional to 7,602.87, 11,403.87 and 2,055.80 is: 3,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.87 : 11,403.87 = 2,055.80 : x
  2. Step 2: Convert to fraction form
    7,602.87/11,403.87 = 2,055.80/x
  3. Step 3: Cross multiply
    7,602.87x = 11,403.87 × 2,055.80
  4. Step 4: Simplify right side
    7,602.87x = 23,444,018.93
  5. Step 5: Solve for x
    x = 23,444,018.93/7,602.87
  6. Step 6: Final answer
    x = 3,083.57

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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.