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Finding the Fourth Proportional to 7,172.56, 9,898.58 and 4,028.75

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Solution

The fourth proportional to 7,172.56, 9,898.58 and 4,028.75 is: 5,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.56 : 9,898.58 = 4,028.75 : x
  2. Step 2: Convert to fraction form
    7,172.56/9,898.58 = 4,028.75/x
  3. Step 3: Cross multiply
    7,172.56x = 9,898.58 × 4,028.75
  4. Step 4: Simplify right side
    7,172.56x = 39,878,904.18
  5. Step 5: Solve for x
    x = 39,878,904.18/7,172.56
  6. Step 6: Final answer
    x = 5,559.93

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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.