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Finding the Fourth Proportional to 8,829.76, 12,185.93 and 5,053.47

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Solution

The fourth proportional to 8,829.76, 12,185.93 and 5,053.47 is: 6,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.76 : 12,185.93 = 5,053.47 : x
  2. Step 2: Convert to fraction form
    8,829.76/12,185.93 = 5,053.47/x
  3. Step 3: Cross multiply
    8,829.76x = 12,185.93 × 5,053.47
  4. Step 4: Simplify right side
    8,829.76x = 61,581,208.64
  5. Step 5: Solve for x
    x = 61,581,208.64/8,829.76
  6. Step 6: Final answer
    x = 6,974.28

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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.