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Finding the Fourth Proportional to 7,496.01, 11,243.16 and 2,565

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Solution

The fourth proportional to 7,496.01, 11,243.16 and 2,565 is: 3,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.01 : 11,243.16 = 2,565 : x
  2. Step 2: Convert to fraction form
    7,496.01/11,243.16 = 2,565/x
  3. Step 3: Cross multiply
    7,496.01x = 11,243.16 × 2,565
  4. Step 4: Simplify right side
    7,496.01x = 28,838,705.40
  5. Step 5: Solve for x
    x = 28,838,705.40/7,496.01
  6. Step 6: Final answer
    x = 3,847.21

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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.