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Finding the Fourth Proportional to 7,848.90, 10,830.78 and 4,491.45

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Solution

The fourth proportional to 7,848.90, 10,830.78 and 4,491.45 is: 6,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.90 : 10,830.78 = 4,491.45 : x
  2. Step 2: Convert to fraction form
    7,848.90/10,830.78 = 4,491.45/x
  3. Step 3: Cross multiply
    7,848.90x = 10,830.78 × 4,491.45
  4. Step 4: Simplify right side
    7,848.90x = 48,645,906.83
  5. Step 5: Solve for x
    x = 48,645,906.83/7,848.90
  6. Step 6: Final answer
    x = 6,197.80

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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.