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Finding the Fourth Proportional to 7,151.96, 9,870.24 and 4,167.16

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Solution

The fourth proportional to 7,151.96, 9,870.24 and 4,167.16 is: 5,750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.96 : 9,870.24 = 4,167.16 : x
  2. Step 2: Convert to fraction form
    7,151.96/9,870.24 = 4,167.16/x
  3. Step 3: Cross multiply
    7,151.96x = 9,870.24 × 4,167.16
  4. Step 4: Simplify right side
    7,151.96x = 41,130,860.27
  5. Step 5: Solve for x
    x = 41,130,860.27/7,151.96
  6. Step 6: Final answer
    x = 5,750.99

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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.