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Finding the Fourth Proportional to 7,172.51, 9,895.05 and 5,178.69

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Solution

The fourth proportional to 7,172.51, 9,895.05 and 5,178.69 is: 7,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.51 : 9,895.05 = 5,178.69 : x
  2. Step 2: Convert to fraction form
    7,172.51/9,895.05 = 5,178.69/x
  3. Step 3: Cross multiply
    7,172.51x = 9,895.05 × 5,178.69
  4. Step 4: Simplify right side
    7,172.51x = 51,243,396.48
  5. Step 5: Solve for x
    x = 51,243,396.48/7,172.51
  6. Step 6: Final answer
    x = 7,144.42

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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.