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Finding the Fourth Proportional to 10,655.40, 14,713.75 and 6,683.37

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Solution

The fourth proportional to 10,655.40, 14,713.75 and 6,683.37 is: 9,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.40 : 14,713.75 = 6,683.37 : x
  2. Step 2: Convert to fraction form
    10,655.40/14,713.75 = 6,683.37/x
  3. Step 3: Cross multiply
    10,655.40x = 14,713.75 × 6,683.37
  4. Step 4: Simplify right side
    10,655.40x = 98,337,435.34
  5. Step 5: Solve for x
    x = 98,337,435.34/10,655.40
  6. Step 6: Final answer
    x = 9,228.88

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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.