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Finding the Fourth Proportional to 7,155.88, 9,878.82 and 5,558.95

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Solution

The fourth proportional to 7,155.88, 9,878.82 and 5,558.95 is: 7,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.88 : 9,878.82 = 5,558.95 : x
  2. Step 2: Convert to fraction form
    7,155.88/9,878.82 = 5,558.95/x
  3. Step 3: Cross multiply
    7,155.88x = 9,878.82 × 5,558.95
  4. Step 4: Simplify right side
    7,155.88x = 54,915,841.74
  5. Step 5: Solve for x
    x = 54,915,841.74/7,155.88
  6. Step 6: Final answer
    x = 7,674.23

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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.