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Finding the Fourth Proportional to 7,151.22, 9,862.63 and 5,362.88

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Solution

The fourth proportional to 7,151.22, 9,862.63 and 5,362.88 is: 7,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.22 : 9,862.63 = 5,362.88 : x
  2. Step 2: Convert to fraction form
    7,151.22/9,862.63 = 5,362.88/x
  3. Step 3: Cross multiply
    7,151.22x = 9,862.63 × 5,362.88
  4. Step 4: Simplify right side
    7,151.22x = 52,892,038.45
  5. Step 5: Solve for x
    x = 52,892,038.45/7,151.22
  6. Step 6: Final answer
    x = 7,396.23

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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.