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Finding the Fourth Proportional to 7,557.72, 11,337.66 and 2,364

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Solution

The fourth proportional to 7,557.72, 11,337.66 and 2,364 is: 3,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.72 : 11,337.66 = 2,364 : x
  2. Step 2: Convert to fraction form
    7,557.72/11,337.66 = 2,364/x
  3. Step 3: Cross multiply
    7,557.72x = 11,337.66 × 2,364
  4. Step 4: Simplify right side
    7,557.72x = 26,802,228.24
  5. Step 5: Solve for x
    x = 26,802,228.24/7,557.72
  6. Step 6: Final answer
    x = 3,546.34

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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.