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Finding the Fourth Proportional to 11,852.69, 16,356.17 and 6,547.38

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Solution

The fourth proportional to 11,852.69, 16,356.17 and 6,547.38 is: 9,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.69 : 16,356.17 = 6,547.38 : x
  2. Step 2: Convert to fraction form
    11,852.69/16,356.17 = 6,547.38/x
  3. Step 3: Cross multiply
    11,852.69x = 16,356.17 × 6,547.38
  4. Step 4: Simplify right side
    11,852.69x = 107,090,027.60
  5. Step 5: Solve for x
    x = 107,090,027.60/11,852.69
  6. Step 6: Final answer
    x = 9,035.09

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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.