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Finding the Fourth Proportional to 10,055.98, 15,055.83 and 7,583.06

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Solution

The fourth proportional to 10,055.98, 15,055.83 and 7,583.06 is: 11,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.98 : 15,055.83 = 7,583.06 : x
  2. Step 2: Convert to fraction form
    10,055.98/15,055.83 = 7,583.06/x
  3. Step 3: Cross multiply
    10,055.98x = 15,055.83 × 7,583.06
  4. Step 4: Simplify right side
    10,055.98x = 114,169,262.24
  5. Step 5: Solve for x
    x = 114,169,262.24/10,055.98
  6. Step 6: Final answer
    x = 11,353.37

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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.