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Finding the Fourth Proportional to 7,565.18, 11,347.78 and 2,018.24

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Solution

The fourth proportional to 7,565.18, 11,347.78 and 2,018.24 is: 3,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.18 : 11,347.78 = 2,018.24 : x
  2. Step 2: Convert to fraction form
    7,565.18/11,347.78 = 2,018.24/x
  3. Step 3: Cross multiply
    7,565.18x = 11,347.78 × 2,018.24
  4. Step 4: Simplify right side
    7,565.18x = 22,902,543.51
  5. Step 5: Solve for x
    x = 22,902,543.51/7,565.18
  6. Step 6: Final answer
    x = 3,027.36

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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.