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Finding the Fourth Proportional to 11,525.58, 15,904.89 and 7,056.78

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Solution

The fourth proportional to 11,525.58, 15,904.89 and 7,056.78 is: 9,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.58 : 15,904.89 = 7,056.78 : x
  2. Step 2: Convert to fraction form
    11,525.58/15,904.89 = 7,056.78/x
  3. Step 3: Cross multiply
    11,525.58x = 15,904.89 × 7,056.78
  4. Step 4: Simplify right side
    11,525.58x = 112,237,309.65
  5. Step 5: Solve for x
    x = 112,237,309.65/11,525.58
  6. Step 6: Final answer
    x = 9,738.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.