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Finding the Fourth Proportional to 11,525.76, 17,288.04 and 6,592.24

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Solution

The fourth proportional to 11,525.76, 17,288.04 and 6,592.24 is: 9,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.76 : 17,288.04 = 6,592.24 : x
  2. Step 2: Convert to fraction form
    11,525.76/17,288.04 = 6,592.24/x
  3. Step 3: Cross multiply
    11,525.76x = 17,288.04 × 6,592.24
  4. Step 4: Simplify right side
    11,525.76x = 113,966,908.81
  5. Step 5: Solve for x
    x = 113,966,908.81/11,525.76
  6. Step 6: Final answer
    x = 9,888.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.