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Finding the Fourth Proportional to 11,907.24, 16,432.08 and 6,602.16

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Solution

The fourth proportional to 11,907.24, 16,432.08 and 6,602.16 is: 9,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.24 : 16,432.08 = 6,602.16 : x
  2. Step 2: Convert to fraction form
    11,907.24/16,432.08 = 6,602.16/x
  3. Step 3: Cross multiply
    11,907.24x = 16,432.08 × 6,602.16
  4. Step 4: Simplify right side
    11,907.24x = 108,487,221.29
  5. Step 5: Solve for x
    x = 108,487,221.29/11,907.24
  6. Step 6: Final answer
    x = 9,111.03

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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.