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Finding the Fourth Proportional to 10,296.67, 14,210.92 and 6,520.18

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Solution

The fourth proportional to 10,296.67, 14,210.92 and 6,520.18 is: 8,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.67 : 14,210.92 = 6,520.18 : x
  2. Step 2: Convert to fraction form
    10,296.67/14,210.92 = 6,520.18/x
  3. Step 3: Cross multiply
    10,296.67x = 14,210.92 × 6,520.18
  4. Step 4: Simplify right side
    10,296.67x = 92,657,686.77
  5. Step 5: Solve for x
    x = 92,657,686.77/10,296.67
  6. Step 6: Final answer
    x = 8,998.80

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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.