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Finding the Fourth Proportional to 10,108.48, 13,934.28 and 7,980.16

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Solution

The fourth proportional to 10,108.48, 13,934.28 and 7,980.16 is: 11,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.48 : 13,934.28 = 7,980.16 : x
  2. Step 2: Convert to fraction form
    10,108.48/13,934.28 = 7,980.16/x
  3. Step 3: Cross multiply
    10,108.48x = 13,934.28 × 7,980.16
  4. Step 4: Simplify right side
    10,108.48x = 111,197,783.88
  5. Step 5: Solve for x
    x = 111,197,783.88/10,108.48
  6. Step 6: Final answer
    x = 11,000.45

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