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Finding the Fourth Proportional to 8,004.78, 12,008.88 and 2,458.50

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Solution

The fourth proportional to 8,004.78, 12,008.88 and 2,458.50 is: 3,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.78 : 12,008.88 = 2,458.50 : x
  2. Step 2: Convert to fraction form
    8,004.78/12,008.88 = 2,458.50/x
  3. Step 3: Cross multiply
    8,004.78x = 12,008.88 × 2,458.50
  4. Step 4: Simplify right side
    8,004.78x = 29,523,831.48
  5. Step 5: Solve for x
    x = 29,523,831.48/8,004.78
  6. Step 6: Final answer
    x = 3,688.28

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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.