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Finding the Fourth Proportional to 10,172.93, 15,288.06 and 6,014.89

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Solution

The fourth proportional to 10,172.93, 15,288.06 and 6,014.89 is: 9,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.93 : 15,288.06 = 6,014.89 : x
  2. Step 2: Convert to fraction form
    10,172.93/15,288.06 = 6,014.89/x
  3. Step 3: Cross multiply
    10,172.93x = 15,288.06 × 6,014.89
  4. Step 4: Simplify right side
    10,172.93x = 91,955,922.77
  5. Step 5: Solve for x
    x = 91,955,922.77/10,172.93
  6. Step 6: Final answer
    x = 9,039.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.