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Finding the Fourth Proportional to 11,707.92, 16,156.94 and 6,603.50

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Solution

The fourth proportional to 11,707.92, 16,156.94 and 6,603.50 is: 9,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.92 : 16,156.94 = 6,603.50 : x
  2. Step 2: Convert to fraction form
    11,707.92/16,156.94 = 6,603.50/x
  3. Step 3: Cross multiply
    11,707.92x = 16,156.94 × 6,603.50
  4. Step 4: Simplify right side
    11,707.92x = 106,692,337.22
  5. Step 5: Solve for x
    x = 106,692,337.22/11,707.92
  6. Step 6: Final answer
    x = 9,112.84

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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.