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Finding the Fourth Proportional to 7,160.11, 9,878.94 and 4,642.33

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Solution

The fourth proportional to 7,160.11, 9,878.94 and 4,642.33 is: 6,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.11 : 9,878.94 = 4,642.33 : x
  2. Step 2: Convert to fraction form
    7,160.11/9,878.94 = 4,642.33/x
  3. Step 3: Cross multiply
    7,160.11x = 9,878.94 × 4,642.33
  4. Step 4: Simplify right side
    7,160.11x = 45,861,280.30
  5. Step 5: Solve for x
    x = 45,861,280.30/7,160.11
  6. Step 6: Final answer
    x = 6,405.11

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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.