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Finding the Fourth Proportional to 10,070.21, 13,900.77 and 6,711.80

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Solution

The fourth proportional to 10,070.21, 13,900.77 and 6,711.80 is: 9,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.21 : 13,900.77 = 6,711.80 : x
  2. Step 2: Convert to fraction form
    10,070.21/13,900.77 = 6,711.80/x
  3. Step 3: Cross multiply
    10,070.21x = 13,900.77 × 6,711.80
  4. Step 4: Simplify right side
    10,070.21x = 93,299,188.09
  5. Step 5: Solve for x
    x = 93,299,188.09/10,070.21
  6. Step 6: Final answer
    x = 9,264.87

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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.