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Finding the Fourth Proportional to 7,100.67, 10,689.35 and 6,386.25

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Solution

The fourth proportional to 7,100.67, 10,689.35 and 6,386.25 is: 9,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.67 : 10,689.35 = 6,386.25 : x
  2. Step 2: Convert to fraction form
    7,100.67/10,689.35 = 6,386.25/x
  3. Step 3: Cross multiply
    7,100.67x = 10,689.35 × 6,386.25
  4. Step 4: Simplify right side
    7,100.67x = 68,264,877.40
  5. Step 5: Solve for x
    x = 68,264,877.40/7,100.67
  6. Step 6: Final answer
    x = 9,613.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.