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Finding the Fourth Proportional to 7,710.68, 10,640.68 and 4,354.58

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Solution

The fourth proportional to 7,710.68, 10,640.68 and 4,354.58 is: 6,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.68 : 10,640.68 = 4,354.58 : x
  2. Step 2: Convert to fraction form
    7,710.68/10,640.68 = 4,354.58/x
  3. Step 3: Cross multiply
    7,710.68x = 10,640.68 × 4,354.58
  4. Step 4: Simplify right side
    7,710.68x = 46,335,692.31
  5. Step 5: Solve for x
    x = 46,335,692.31/7,710.68
  6. Step 6: Final answer
    x = 6,009.29

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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.