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Finding the Fourth Proportional to 12,011.32, 16,564.38 and 7,533.64

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Solution

The fourth proportional to 12,011.32, 16,564.38 and 7,533.64 is: 10,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.32 : 16,564.38 = 7,533.64 : x
  2. Step 2: Convert to fraction form
    12,011.32/16,564.38 = 7,533.64/x
  3. Step 3: Cross multiply
    12,011.32x = 16,564.38 × 7,533.64
  4. Step 4: Simplify right side
    12,011.32x = 124,790,075.74
  5. Step 5: Solve for x
    x = 124,790,075.74/12,011.32
  6. Step 6: Final answer
    x = 10,389.37

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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.