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Finding the Fourth Proportional to 12,359.29, 18,533.39 and 7,364.02

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Solution

The fourth proportional to 12,359.29, 18,533.39 and 7,364.02 is: 11,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.29 : 18,533.39 = 7,364.02 : x
  2. Step 2: Convert to fraction form
    12,359.29/18,533.39 = 7,364.02/x
  3. Step 3: Cross multiply
    12,359.29x = 18,533.39 × 7,364.02
  4. Step 4: Simplify right side
    12,359.29x = 136,480,252.65
  5. Step 5: Solve for x
    x = 136,480,252.65/12,359.29
  6. Step 6: Final answer
    x = 11,042.72

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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.