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Finding the Fourth Proportional to 10,388.76, 14,335.92 and 6,410.16

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Solution

The fourth proportional to 10,388.76, 14,335.92 and 6,410.16 is: 8,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.76 : 14,335.92 = 6,410.16 : x
  2. Step 2: Convert to fraction form
    10,388.76/14,335.92 = 6,410.16/x
  3. Step 3: Cross multiply
    10,388.76x = 14,335.92 × 6,410.16
  4. Step 4: Simplify right side
    10,388.76x = 91,895,540.95
  5. Step 5: Solve for x
    x = 91,895,540.95/10,388.76
  6. Step 6: Final answer
    x = 8,845.67

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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.