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Finding the Fourth Proportional to 11,907.09, 16,432.43 and 6,602.40

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Solution

The fourth proportional to 11,907.09, 16,432.43 and 6,602.40 is: 9,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.09 : 16,432.43 = 6,602.40 : x
  2. Step 2: Convert to fraction form
    11,907.09/16,432.43 = 6,602.40/x
  3. Step 3: Cross multiply
    11,907.09x = 16,432.43 × 6,602.40
  4. Step 4: Simplify right side
    11,907.09x = 108,493,475.83
  5. Step 5: Solve for x
    x = 108,493,475.83/11,907.09
  6. Step 6: Final answer
    x = 9,111.67

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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.