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Finding the Fourth Proportional to 7,848.82, 10,830.54 and 4,491.58

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Solution

The fourth proportional to 7,848.82, 10,830.54 and 4,491.58 is: 6,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.82 : 10,830.54 = 4,491.58 : x
  2. Step 2: Convert to fraction form
    7,848.82/10,830.54 = 4,491.58/x
  3. Step 3: Cross multiply
    7,848.82x = 10,830.54 × 4,491.58
  4. Step 4: Simplify right side
    7,848.82x = 48,646,236.85
  5. Step 5: Solve for x
    x = 48,646,236.85/7,848.82
  6. Step 6: Final answer
    x = 6,197.90

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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.