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Finding the Fourth Proportional to 8,978.04, 12,390.38 and 5,202.23

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Solution

The fourth proportional to 8,978.04, 12,390.38 and 5,202.23 is: 7,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.04 : 12,390.38 = 5,202.23 : x
  2. Step 2: Convert to fraction form
    8,978.04/12,390.38 = 5,202.23/x
  3. Step 3: Cross multiply
    8,978.04x = 12,390.38 × 5,202.23
  4. Step 4: Simplify right side
    8,978.04x = 64,457,518.58
  5. Step 5: Solve for x
    x = 64,457,518.58/8,978.04
  6. Step 6: Final answer
    x = 7,179.46

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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.