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Finding the Fourth Proportional to 7,087.98, 9,788.67 and 5,316.78

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Solution

The fourth proportional to 7,087.98, 9,788.67 and 5,316.78 is: 7,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.98 : 9,788.67 = 5,316.78 : x
  2. Step 2: Convert to fraction form
    7,087.98/9,788.67 = 5,316.78/x
  3. Step 3: Cross multiply
    7,087.98x = 9,788.67 × 5,316.78
  4. Step 4: Simplify right side
    7,087.98x = 52,044,204.88
  5. Step 5: Solve for x
    x = 52,044,204.88/7,087.98
  6. Step 6: Final answer
    x = 7,342.60

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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.