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Finding the Fourth Proportional to 7,564.95, 11,347.62 and 2,018.28

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Solution

The fourth proportional to 7,564.95, 11,347.62 and 2,018.28 is: 3,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.95 : 11,347.62 = 2,018.28 : x
  2. Step 2: Convert to fraction form
    7,564.95/11,347.62 = 2,018.28/x
  3. Step 3: Cross multiply
    7,564.95x = 11,347.62 × 2,018.28
  4. Step 4: Simplify right side
    7,564.95x = 22,902,674.49
  5. Step 5: Solve for x
    x = 22,902,674.49/7,564.95
  6. Step 6: Final answer
    x = 3,027.47

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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.