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Finding the Fourth Proportional to 25,394.91, 38,102.38 and 7,866.10

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Solution

The fourth proportional to 25,394.91, 38,102.38 and 7,866.10 is: 11,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,394.91 : 38,102.38 = 7,866.10 : x
  2. Step 2: Convert to fraction form
    25,394.91/38,102.38 = 7,866.10/x
  3. Step 3: Cross multiply
    25,394.91x = 38,102.38 × 7,866.10
  4. Step 4: Simplify right side
    25,394.91x = 299,717,131.32
  5. Step 5: Solve for x
    x = 299,717,131.32/25,394.91
  6. Step 6: Final answer
    x = 11,802.25

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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.