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Finding the Fourth Proportional to 7,848.63, 10,832.13 and 4,491.99

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Solution

The fourth proportional to 7,848.63, 10,832.13 and 4,491.99 is: 6,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.63 : 10,832.13 = 4,491.99 : x
  2. Step 2: Convert to fraction form
    7,848.63/10,832.13 = 4,491.99/x
  3. Step 3: Cross multiply
    7,848.63x = 10,832.13 × 4,491.99
  4. Step 4: Simplify right side
    7,848.63x = 48,657,819.64
  5. Step 5: Solve for x
    x = 48,657,819.64/7,848.63
  6. Step 6: Final answer
    x = 6,199.53

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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.