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Finding the Fourth Proportional to 7,656.59, 11,484.17 and 2,391.41

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Solution

The fourth proportional to 7,656.59, 11,484.17 and 2,391.41 is: 3,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.59 : 11,484.17 = 2,391.41 : x
  2. Step 2: Convert to fraction form
    7,656.59/11,484.17 = 2,391.41/x
  3. Step 3: Cross multiply
    7,656.59x = 11,484.17 × 2,391.41
  4. Step 4: Simplify right side
    7,656.59x = 27,463,347.02
  5. Step 5: Solve for x
    x = 27,463,347.02/7,656.59
  6. Step 6: Final answer
    x = 3,586.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.