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Finding the Fourth Proportional to 7,705.02, 11,501.77 and 6,770.84

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Solution

The fourth proportional to 7,705.02, 11,501.77 and 6,770.84 is: 10,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.02 : 11,501.77 = 6,770.84 : x
  2. Step 2: Convert to fraction form
    7,705.02/11,501.77 = 6,770.84/x
  3. Step 3: Cross multiply
    7,705.02x = 11,501.77 × 6,770.84
  4. Step 4: Simplify right side
    7,705.02x = 77,876,595.34
  5. Step 5: Solve for x
    x = 77,876,595.34/7,705.02
  6. Step 6: Final answer
    x = 10,107.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.