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Finding the Fourth Proportional to 7,820.26, 10,792.05 and 4,463.53

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Solution

The fourth proportional to 7,820.26, 10,792.05 and 4,463.53 is: 6,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.26 : 10,792.05 = 4,463.53 : x
  2. Step 2: Convert to fraction form
    7,820.26/10,792.05 = 4,463.53/x
  3. Step 3: Cross multiply
    7,820.26x = 10,792.05 × 4,463.53
  4. Step 4: Simplify right side
    7,820.26x = 48,170,638.94
  5. Step 5: Solve for x
    x = 48,170,638.94/7,820.26
  6. Step 6: Final answer
    x = 6,159.72

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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.