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Finding the Fourth Proportional to 10,640.16, 14,685.84 and 6,907.68

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Solution

The fourth proportional to 10,640.16, 14,685.84 and 6,907.68 is: 9,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.16 : 14,685.84 = 6,907.68 : x
  2. Step 2: Convert to fraction form
    10,640.16/14,685.84 = 6,907.68/x
  3. Step 3: Cross multiply
    10,640.16x = 14,685.84 × 6,907.68
  4. Step 4: Simplify right side
    10,640.16x = 101,445,083.25
  5. Step 5: Solve for x
    x = 101,445,083.25/10,640.16
  6. Step 6: Final answer
    x = 9,534.17

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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.