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Finding the Fourth Proportional to 7,106.67, 10,636.29 and 5,347.40

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Solution

The fourth proportional to 7,106.67, 10,636.29 and 5,347.40 is: 8,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.67 : 10,636.29 = 5,347.40 : x
  2. Step 2: Convert to fraction form
    7,106.67/10,636.29 = 5,347.40/x
  3. Step 3: Cross multiply
    7,106.67x = 10,636.29 × 5,347.40
  4. Step 4: Simplify right side
    7,106.67x = 56,876,443.96
  5. Step 5: Solve for x
    x = 56,876,443.96/7,106.67
  6. Step 6: Final answer
    x = 8,003.25

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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.