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Finding the Fourth Proportional to 10,482.63, 14,467.32 and 6,007.38

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Solution

The fourth proportional to 10,482.63, 14,467.32 and 6,007.38 is: 8,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.63 : 14,467.32 = 6,007.38 : x
  2. Step 2: Convert to fraction form
    10,482.63/14,467.32 = 6,007.38/x
  3. Step 3: Cross multiply
    10,482.63x = 14,467.32 × 6,007.38
  4. Step 4: Simplify right side
    10,482.63x = 86,910,688.82
  5. Step 5: Solve for x
    x = 86,910,688.82/10,482.63
  6. Step 6: Final answer
    x = 8,290.92

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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.