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Finding the Fourth Proportional to 7,638.05, 10,537.08 and 4,648.70

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Solution

The fourth proportional to 7,638.05, 10,537.08 and 4,648.70 is: 6,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.05 : 10,537.08 = 4,648.70 : x
  2. Step 2: Convert to fraction form
    7,638.05/10,537.08 = 4,648.70/x
  3. Step 3: Cross multiply
    7,638.05x = 10,537.08 × 4,648.70
  4. Step 4: Simplify right side
    7,638.05x = 48,983,671.11
  5. Step 5: Solve for x
    x = 48,983,671.11/7,638.05
  6. Step 6: Final answer
    x = 6,413.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.