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Finding the Fourth Proportional to 7,973.78, 11,952.95 and 4,465.49

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Solution

The fourth proportional to 7,973.78, 11,952.95 and 4,465.49 is: 6,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.78 : 11,952.95 = 4,465.49 : x
  2. Step 2: Convert to fraction form
    7,973.78/11,952.95 = 4,465.49/x
  3. Step 3: Cross multiply
    7,973.78x = 11,952.95 × 4,465.49
  4. Step 4: Simplify right side
    7,973.78x = 53,375,696.60
  5. Step 5: Solve for x
    x = 53,375,696.60/7,973.78
  6. Step 6: Final answer
    x = 6,693.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.