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Finding the Fourth Proportional to 6,877.39, 10,316.13 and 1,683.28

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Solution

The fourth proportional to 6,877.39, 10,316.13 and 1,683.28 is: 2,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.39 : 10,316.13 = 1,683.28 : x
  2. Step 2: Convert to fraction form
    6,877.39/10,316.13 = 1,683.28/x
  3. Step 3: Cross multiply
    6,877.39x = 10,316.13 × 1,683.28
  4. Step 4: Simplify right side
    6,877.39x = 17,364,935.31
  5. Step 5: Solve for x
    x = 17,364,935.31/6,877.39
  6. Step 6: Final answer
    x = 2,524.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.