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Finding the Fourth Proportional to 11,465.56, 15,823.32 and 6,429.76

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Solution

The fourth proportional to 11,465.56, 15,823.32 and 6,429.76 is: 8,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.56 : 15,823.32 = 6,429.76 : x
  2. Step 2: Convert to fraction form
    11,465.56/15,823.32 = 6,429.76/x
  3. Step 3: Cross multiply
    11,465.56x = 15,823.32 × 6,429.76
  4. Step 4: Simplify right side
    11,465.56x = 101,740,150.00
  5. Step 5: Solve for x
    x = 101,740,150.00/11,465.56
  6. Step 6: Final answer
    x = 8,873.54

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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.