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Finding the Fourth Proportional to 11,710.31, 16,160.06 and 6,405.05

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Solution

The fourth proportional to 11,710.31, 16,160.06 and 6,405.05 is: 8,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.31 : 16,160.06 = 6,405.05 : x
  2. Step 2: Convert to fraction form
    11,710.31/16,160.06 = 6,405.05/x
  3. Step 3: Cross multiply
    11,710.31x = 16,160.06 × 6,405.05
  4. Step 4: Simplify right side
    11,710.31x = 103,506,048.72
  5. Step 5: Solve for x
    x = 103,506,048.72/11,710.31
  6. Step 6: Final answer
    x = 8,838.89

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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.