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Finding the Fourth Proportional to 10,688.94, 14,757.12 and 6,713.46

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Solution

The fourth proportional to 10,688.94, 14,757.12 and 6,713.46 is: 9,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.94 : 14,757.12 = 6,713.46 : x
  2. Step 2: Convert to fraction form
    10,688.94/14,757.12 = 6,713.46/x
  3. Step 3: Cross multiply
    10,688.94x = 14,757.12 × 6,713.46
  4. Step 4: Simplify right side
    10,688.94x = 99,071,334.84
  5. Step 5: Solve for x
    x = 99,071,334.84/10,688.94
  6. Step 6: Final answer
    x = 9,268.58

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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.