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Finding the Fourth Proportional to 11,707.63, 16,156.87 and 6,402.74

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Solution

The fourth proportional to 11,707.63, 16,156.87 and 6,402.74 is: 8,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.63 : 16,156.87 = 6,402.74 : x
  2. Step 2: Convert to fraction form
    11,707.63/16,156.87 = 6,402.74/x
  3. Step 3: Cross multiply
    11,707.63x = 16,156.87 × 6,402.74
  4. Step 4: Simplify right side
    11,707.63x = 103,448,141.03
  5. Step 5: Solve for x
    x = 103,448,141.03/11,707.63
  6. Step 6: Final answer
    x = 8,835.96

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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.