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Finding the Fourth Proportional to 11,907.06, 16,431.08 and 6,602.16

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Solution

The fourth proportional to 11,907.06, 16,431.08 and 6,602.16 is: 9,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.06 : 16,431.08 = 6,602.16 : x
  2. Step 2: Convert to fraction form
    11,907.06/16,431.08 = 6,602.16/x
  3. Step 3: Cross multiply
    11,907.06x = 16,431.08 × 6,602.16
  4. Step 4: Simplify right side
    11,907.06x = 108,480,619.13
  5. Step 5: Solve for x
    x = 108,480,619.13/11,907.06
  6. Step 6: Final answer
    x = 9,110.61

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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.