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Finding the Fourth Proportional to 10,098.30, 13,934.64 and 5,847.60

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Solution

The fourth proportional to 10,098.30, 13,934.64 and 5,847.60 is: 8,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.30 : 13,934.64 = 5,847.60 : x
  2. Step 2: Convert to fraction form
    10,098.30/13,934.64 = 5,847.60/x
  3. Step 3: Cross multiply
    10,098.30x = 13,934.64 × 5,847.60
  4. Step 4: Simplify right side
    10,098.30x = 81,484,200.86
  5. Step 5: Solve for x
    x = 81,484,200.86/10,098.30
  6. Step 6: Final answer
    x = 8,069.10

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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.