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Finding the Fourth Proportional to 11,907.50, 16,432.16 and 6,602.40

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Solution

The fourth proportional to 11,907.50, 16,432.16 and 6,602.40 is: 9,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.50 : 16,432.16 = 6,602.40 : x
  2. Step 2: Convert to fraction form
    11,907.50/16,432.16 = 6,602.40/x
  3. Step 3: Cross multiply
    11,907.50x = 16,432.16 × 6,602.40
  4. Step 4: Simplify right side
    11,907.50x = 108,491,660.17
  5. Step 5: Solve for x
    x = 108,491,660.17/11,907.50
  6. Step 6: Final answer
    x = 9,111.21

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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.