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Finding the Fourth Proportional to 7,866.48, 11,800.14 and 2,530.10

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Solution

The fourth proportional to 7,866.48, 11,800.14 and 2,530.10 is: 3,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.48 : 11,800.14 = 2,530.10 : x
  2. Step 2: Convert to fraction form
    7,866.48/11,800.14 = 2,530.10/x
  3. Step 3: Cross multiply
    7,866.48x = 11,800.14 × 2,530.10
  4. Step 4: Simplify right side
    7,866.48x = 29,855,534.21
  5. Step 5: Solve for x
    x = 29,855,534.21/7,866.48
  6. Step 6: Final answer
    x = 3,795.29

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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.