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Finding the Fourth Proportional to 11,569.39, 15,964.04 and 6,533.51

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Solution

The fourth proportional to 11,569.39, 15,964.04 and 6,533.51 is: 9,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.39 : 15,964.04 = 6,533.51 : x
  2. Step 2: Convert to fraction form
    11,569.39/15,964.04 = 6,533.51/x
  3. Step 3: Cross multiply
    11,569.39x = 15,964.04 × 6,533.51
  4. Step 4: Simplify right side
    11,569.39x = 104,301,182.31
  5. Step 5: Solve for x
    x = 104,301,182.31/11,569.39
  6. Step 6: Final answer
    x = 9,015.27

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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.