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Finding the Fourth Proportional to 7,638.78, 11,456.34 and 5,583

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Solution

The fourth proportional to 7,638.78, 11,456.34 and 5,583 is: 8,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.78 : 11,456.34 = 5,583 : x
  2. Step 2: Convert to fraction form
    7,638.78/11,456.34 = 5,583/x
  3. Step 3: Cross multiply
    7,638.78x = 11,456.34 × 5,583
  4. Step 4: Simplify right side
    7,638.78x = 63,960,746.22
  5. Step 5: Solve for x
    x = 63,960,746.22/7,638.78
  6. Step 6: Final answer
    x = 8,373.16

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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.