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Finding the Fourth Proportional to 11,467.88, 15,831.25 and 7,225.10

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Solution

The fourth proportional to 11,467.88, 15,831.25 and 7,225.10 is: 9,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.88 : 15,831.25 = 7,225.10 : x
  2. Step 2: Convert to fraction form
    11,467.88/15,831.25 = 7,225.10/x
  3. Step 3: Cross multiply
    11,467.88x = 15,831.25 × 7,225.10
  4. Step 4: Simplify right side
    11,467.88x = 114,382,364.38
  5. Step 5: Solve for x
    x = 114,382,364.38/11,467.88
  6. Step 6: Final answer
    x = 9,974.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.