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Finding the Fourth Proportional to 10,419.79, 14,364.48 and 6,438.64

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Solution

The fourth proportional to 10,419.79, 14,364.48 and 6,438.64 is: 8,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.79 : 14,364.48 = 6,438.64 : x
  2. Step 2: Convert to fraction form
    10,419.79/14,364.48 = 6,438.64/x
  3. Step 3: Cross multiply
    10,419.79x = 14,364.48 × 6,438.64
  4. Step 4: Simplify right side
    10,419.79x = 92,487,703.74
  5. Step 5: Solve for x
    x = 92,487,703.74/10,419.79
  6. Step 6: Final answer
    x = 8,876.16

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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.