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Finding the Fourth Proportional to 11,710.30, 16,160.33 and 6,405.00

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Solution

The fourth proportional to 11,710.30, 16,160.33 and 6,405.00 is: 8,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.30 : 16,160.33 = 6,405.00 : x
  2. Step 2: Convert to fraction form
    11,710.30/16,160.33 = 6,405.00/x
  3. Step 3: Cross multiply
    11,710.30x = 16,160.33 × 6,405.00
  4. Step 4: Simplify right side
    11,710.30x = 103,506,889.26
  5. Step 5: Solve for x
    x = 103,506,889.26/11,710.30
  6. Step 6: Final answer
    x = 8,838.97

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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.