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Finding the Fourth Proportional to 10,433.01, 14,398.74 and 5,957.40

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Solution

The fourth proportional to 10,433.01, 14,398.74 and 5,957.40 is: 8,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.01 : 14,398.74 = 5,957.40 : x
  2. Step 2: Convert to fraction form
    10,433.01/14,398.74 = 5,957.40/x
  3. Step 3: Cross multiply
    10,433.01x = 14,398.74 × 5,957.40
  4. Step 4: Simplify right side
    10,433.01x = 85,779,053.68
  5. Step 5: Solve for x
    x = 85,779,053.68/10,433.01
  6. Step 6: Final answer
    x = 8,221.89

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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.