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Finding the Fourth Proportional to 10,907.76, 15,066.78 and 8,420.61

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Solution

The fourth proportional to 10,907.76, 15,066.78 and 8,420.61 is: 11,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.76 : 15,066.78 = 8,420.61 : x
  2. Step 2: Convert to fraction form
    10,907.76/15,066.78 = 8,420.61/x
  3. Step 3: Cross multiply
    10,907.76x = 15,066.78 × 8,420.61
  4. Step 4: Simplify right side
    10,907.76x = 126,871,478.34
  5. Step 5: Solve for x
    x = 126,871,478.34/10,907.76
  6. Step 6: Final answer
    x = 11,631.30

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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.