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Finding the Fourth Proportional to 7,980.32, 11,012.54 and 4,443.86

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Solution

The fourth proportional to 7,980.32, 11,012.54 and 4,443.86 is: 6,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.32 : 11,012.54 = 4,443.86 : x
  2. Step 2: Convert to fraction form
    7,980.32/11,012.54 = 4,443.86/x
  3. Step 3: Cross multiply
    7,980.32x = 11,012.54 × 4,443.86
  4. Step 4: Simplify right side
    7,980.32x = 48,938,186.00
  5. Step 5: Solve for x
    x = 48,938,186.00/7,980.32
  6. Step 6: Final answer
    x = 6,132.36

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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.