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Finding the Fourth Proportional to 10,421.40, 14,380.52 and 5,946.15

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Solution

The fourth proportional to 10,421.40, 14,380.52 and 5,946.15 is: 8,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.40 : 14,380.52 = 5,946.15 : x
  2. Step 2: Convert to fraction form
    10,421.40/14,380.52 = 5,946.15/x
  3. Step 3: Cross multiply
    10,421.40x = 14,380.52 × 5,946.15
  4. Step 4: Simplify right side
    10,421.40x = 85,508,699.27
  5. Step 5: Solve for x
    x = 85,508,699.27/10,421.40
  6. Step 6: Final answer
    x = 8,205.11

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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.