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Finding the Fourth Proportional to 10,364.67, 14,308.10 and 6,114.40

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Solution

The fourth proportional to 10,364.67, 14,308.10 and 6,114.40 is: 8,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.67 : 14,308.10 = 6,114.40 : x
  2. Step 2: Convert to fraction form
    10,364.67/14,308.10 = 6,114.40/x
  3. Step 3: Cross multiply
    10,364.67x = 14,308.10 × 6,114.40
  4. Step 4: Simplify right side
    10,364.67x = 87,485,446.64
  5. Step 5: Solve for x
    x = 87,485,446.64/10,364.67
  6. Step 6: Final answer
    x = 8,440.74

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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.