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Finding the Fourth Proportional to 11,582.60, 15,984 and 6,277.40

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Solution

The fourth proportional to 11,582.60, 15,984 and 6,277.40 is: 8,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.60 : 15,984 = 6,277.40 : x
  2. Step 2: Convert to fraction form
    11,582.60/15,984 = 6,277.40/x
  3. Step 3: Cross multiply
    11,582.60x = 15,984 × 6,277.40
  4. Step 4: Simplify right side
    11,582.60x = 100,337,961.60
  5. Step 5: Solve for x
    x = 100,337,961.60/11,582.60
  6. Step 6: Final answer
    x = 8,662.82

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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.