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Finding the Fourth Proportional to 8,530.52, 11,772.14 and 4,992.84

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Solution

The fourth proportional to 8,530.52, 11,772.14 and 4,992.84 is: 6,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.52 : 11,772.14 = 4,992.84 : x
  2. Step 2: Convert to fraction form
    8,530.52/11,772.14 = 4,992.84/x
  3. Step 3: Cross multiply
    8,530.52x = 11,772.14 × 4,992.84
  4. Step 4: Simplify right side
    8,530.52x = 58,776,386.51
  5. Step 5: Solve for x
    x = 58,776,386.51/8,530.52
  6. Step 6: Final answer
    x = 6,890.13

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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.