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Finding the Fourth Proportional to 11,852.71, 16,356.64 and 6,547.41

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Solution

The fourth proportional to 11,852.71, 16,356.64 and 6,547.41 is: 9,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.71 : 16,356.64 = 6,547.41 : x
  2. Step 2: Convert to fraction form
    11,852.71/16,356.64 = 6,547.41/x
  3. Step 3: Cross multiply
    11,852.71x = 16,356.64 × 6,547.41
  4. Step 4: Simplify right side
    11,852.71x = 107,093,632.38
  5. Step 5: Solve for x
    x = 107,093,632.38/11,852.71
  6. Step 6: Final answer
    x = 9,035.37

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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.