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Finding the Fourth Proportional to 11,907.60, 16,432.20 and 6,602.46

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Solution

The fourth proportional to 11,907.60, 16,432.20 and 6,602.46 is: 9,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.60 : 16,432.20 = 6,602.46 : x
  2. Step 2: Convert to fraction form
    11,907.60/16,432.20 = 6,602.46/x
  3. Step 3: Cross multiply
    11,907.60x = 16,432.20 × 6,602.46
  4. Step 4: Simplify right side
    11,907.60x = 108,492,943.21
  5. Step 5: Solve for x
    x = 108,492,943.21/11,907.60
  6. Step 6: Final answer
    x = 9,111.24

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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.