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Finding the Fourth Proportional to 10,055.91, 13,873.36 and 7,409.64

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Solution

The fourth proportional to 10,055.91, 13,873.36 and 7,409.64 is: 10,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.91 : 13,873.36 = 7,409.64 : x
  2. Step 2: Convert to fraction form
    10,055.91/13,873.36 = 7,409.64/x
  3. Step 3: Cross multiply
    10,055.91x = 13,873.36 × 7,409.64
  4. Step 4: Simplify right side
    10,055.91x = 102,796,603.19
  5. Step 5: Solve for x
    x = 102,796,603.19/10,055.91
  6. Step 6: Final answer
    x = 10,222.51

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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.