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Finding the Fourth Proportional to 7,648.84, 10,539.78 and 5,937.04

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Solution

The fourth proportional to 7,648.84, 10,539.78 and 5,937.04 is: 8,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.84 : 10,539.78 = 5,937.04 : x
  2. Step 2: Convert to fraction form
    7,648.84/10,539.78 = 5,937.04/x
  3. Step 3: Cross multiply
    7,648.84x = 10,539.78 × 5,937.04
  4. Step 4: Simplify right side
    7,648.84x = 62,575,095.45
  5. Step 5: Solve for x
    x = 62,575,095.45/7,648.84
  6. Step 6: Final answer
    x = 8,180.99

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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.