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Finding the Fourth Proportional to 11,368.30, 17,041.52 and 5,824.26

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Solution

The fourth proportional to 11,368.30, 17,041.52 and 5,824.26 is: 8,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.30 : 17,041.52 = 5,824.26 : x
  2. Step 2: Convert to fraction form
    11,368.30/17,041.52 = 5,824.26/x
  3. Step 3: Cross multiply
    11,368.30x = 17,041.52 × 5,824.26
  4. Step 4: Simplify right side
    11,368.30x = 99,254,243.28
  5. Step 5: Solve for x
    x = 99,254,243.28/11,368.30
  6. Step 6: Final answer
    x = 8,730.79

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Why These Related Problems?

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