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Finding the Fourth Proportional to 6,999.40, 10,499.10 and 3,710.80

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Solution

The fourth proportional to 6,999.40, 10,499.10 and 3,710.80 is: 5,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.40 : 10,499.10 = 3,710.80 : x
  2. Step 2: Convert to fraction form
    6,999.40/10,499.10 = 3,710.80/x
  3. Step 3: Cross multiply
    6,999.40x = 10,499.10 × 3,710.80
  4. Step 4: Simplify right side
    6,999.40x = 38,960,060.28
  5. Step 5: Solve for x
    x = 38,960,060.28/6,999.40
  6. Step 6: Final answer
    x = 5,566.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.