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Finding the Fourth Proportional to 12,582.60, 17,363.94 and 6,840.11

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Solution

The fourth proportional to 12,582.60, 17,363.94 and 6,840.11 is: 9,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.60 : 17,363.94 = 6,840.11 : x
  2. Step 2: Convert to fraction form
    12,582.60/17,363.94 = 6,840.11/x
  3. Step 3: Cross multiply
    12,582.60x = 17,363.94 × 6,840.11
  4. Step 4: Simplify right side
    12,582.60x = 118,771,261.85
  5. Step 5: Solve for x
    x = 118,771,261.85/12,582.60
  6. Step 6: Final answer
    x = 9,439.32

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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.