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Finding the Fourth Proportional to 11,465.89, 15,822.74 and 6,430.10

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Solution

The fourth proportional to 11,465.89, 15,822.74 and 6,430.10 is: 8,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.89 : 15,822.74 = 6,430.10 : x
  2. Step 2: Convert to fraction form
    11,465.89/15,822.74 = 6,430.10/x
  3. Step 3: Cross multiply
    11,465.89x = 15,822.74 × 6,430.10
  4. Step 4: Simplify right side
    11,465.89x = 101,741,737.44
  5. Step 5: Solve for x
    x = 101,741,737.44/11,465.89
  6. Step 6: Final answer
    x = 8,873.43

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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.