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Finding the Fourth Proportional to 11,261.60, 16,883.76 and 5,710.40

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Solution

The fourth proportional to 11,261.60, 16,883.76 and 5,710.40 is: 8,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.60 : 16,883.76 = 5,710.40 : x
  2. Step 2: Convert to fraction form
    11,261.60/16,883.76 = 5,710.40/x
  3. Step 3: Cross multiply
    11,261.60x = 16,883.76 × 5,710.40
  4. Step 4: Simplify right side
    11,261.60x = 96,413,023.10
  5. Step 5: Solve for x
    x = 96,413,023.10/11,261.60
  6. Step 6: Final answer
    x = 8,561.22

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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.