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Finding the Fourth Proportional to 11,710.29, 16,160 and 6,405.00

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Solution

The fourth proportional to 11,710.29, 16,160 and 6,405.00 is: 8,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.29 : 16,160 = 6,405.00 : x
  2. Step 2: Convert to fraction form
    11,710.29/16,160 = 6,405.00/x
  3. Step 3: Cross multiply
    11,710.29x = 16,160 × 6,405.00
  4. Step 4: Simplify right side
    11,710.29x = 103,504,719.20
  5. Step 5: Solve for x
    x = 103,504,719.20/11,710.29
  6. Step 6: Final answer
    x = 8,838.78

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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.