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Finding the Fourth Proportional to 11,261.76, 16,894.56 and 3,470.40

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Solution

The fourth proportional to 11,261.76, 16,894.56 and 3,470.40 is: 5,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.76 : 16,894.56 = 3,470.40 : x
  2. Step 2: Convert to fraction form
    11,261.76/16,894.56 = 3,470.40/x
  3. Step 3: Cross multiply
    11,261.76x = 16,894.56 × 3,470.40
  4. Step 4: Simplify right side
    11,261.76x = 58,630,881.02
  5. Step 5: Solve for x
    x = 58,630,881.02/11,261.76
  6. Step 6: Final answer
    x = 5,206.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.