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Finding the Fourth Proportional to 8,534.90, 12,807.20 and 2,992.37

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Solution

The fourth proportional to 8,534.90, 12,807.20 and 2,992.37 is: 4,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.90 : 12,807.20 = 2,992.37 : x
  2. Step 2: Convert to fraction form
    8,534.90/12,807.20 = 2,992.37/x
  3. Step 3: Cross multiply
    8,534.90x = 12,807.20 × 2,992.37
  4. Step 4: Simplify right side
    8,534.90x = 38,323,824.51
  5. Step 5: Solve for x
    x = 38,323,824.51/8,534.90
  6. Step 6: Final answer
    x = 4,490.25

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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.