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Finding the Fourth Proportional to 7,260.93, 10,877.10 and 4,788.20

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Solution

The fourth proportional to 7,260.93, 10,877.10 and 4,788.20 is: 7,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.93 : 10,877.10 = 4,788.20 : x
  2. Step 2: Convert to fraction form
    7,260.93/10,877.10 = 4,788.20/x
  3. Step 3: Cross multiply
    7,260.93x = 10,877.10 × 4,788.20
  4. Step 4: Simplify right side
    7,260.93x = 52,081,675.83
  5. Step 5: Solve for x
    x = 52,081,675.83/7,260.93
  6. Step 6: Final answer
    x = 7,172.87

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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.