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Finding the Fourth Proportional to 10,683.25, 14,718.85 and 7,450.02

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Solution

The fourth proportional to 10,683.25, 14,718.85 and 7,450.02 is: 10,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.25 : 14,718.85 = 7,450.02 : x
  2. Step 2: Convert to fraction form
    10,683.25/14,718.85 = 7,450.02/x
  3. Step 3: Cross multiply
    10,683.25x = 14,718.85 × 7,450.02
  4. Step 4: Simplify right side
    10,683.25x = 109,655,708.25
  5. Step 5: Solve for x
    x = 109,655,708.25/10,683.25
  6. Step 6: Final answer
    x = 10,264.27

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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.