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Finding the Fourth Proportional to 10,405.64, 14,355.77 and 6,419.84

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Solution

The fourth proportional to 10,405.64, 14,355.77 and 6,419.84 is: 8,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.64 : 14,355.77 = 6,419.84 : x
  2. Step 2: Convert to fraction form
    10,405.64/14,355.77 = 6,419.84/x
  3. Step 3: Cross multiply
    10,405.64x = 14,355.77 × 6,419.84
  4. Step 4: Simplify right side
    10,405.64x = 92,161,746.48
  5. Step 5: Solve for x
    x = 92,161,746.48/10,405.64
  6. Step 6: Final answer
    x = 8,856.90

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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.