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Finding the Fourth Proportional to 11,465.57, 15,821.39 and 6,430.01

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Solution

The fourth proportional to 11,465.57, 15,821.39 and 6,430.01 is: 8,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.57 : 15,821.39 = 6,430.01 : x
  2. Step 2: Convert to fraction form
    11,465.57/15,821.39 = 6,430.01/x
  3. Step 3: Cross multiply
    11,465.57x = 15,821.39 × 6,430.01
  4. Step 4: Simplify right side
    11,465.57x = 101,731,584.66
  5. Step 5: Solve for x
    x = 101,731,584.66/11,465.57
  6. Step 6: Final answer
    x = 8,872.79

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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.