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Finding the Fourth Proportional to 8,820.53, 12,172.47 and 4,842

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Solution

The fourth proportional to 8,820.53, 12,172.47 and 4,842 is: 6,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.53 : 12,172.47 = 4,842 : x
  2. Step 2: Convert to fraction form
    8,820.53/12,172.47 = 4,842/x
  3. Step 3: Cross multiply
    8,820.53x = 12,172.47 × 4,842
  4. Step 4: Simplify right side
    8,820.53x = 58,939,099.74
  5. Step 5: Solve for x
    x = 58,939,099.74/8,820.53
  6. Step 6: Final answer
    x = 6,682.04

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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.