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Finding the Fourth Proportional to 7,952.40, 10,973.64 and 4,415.76

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Solution

The fourth proportional to 7,952.40, 10,973.64 and 4,415.76 is: 6,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.40 : 10,973.64 = 4,415.76 : x
  2. Step 2: Convert to fraction form
    7,952.40/10,973.64 = 4,415.76/x
  3. Step 3: Cross multiply
    7,952.40x = 10,973.64 × 4,415.76
  4. Step 4: Simplify right side
    7,952.40x = 48,456,960.57
  5. Step 5: Solve for x
    x = 48,456,960.57/7,952.40
  6. Step 6: Final answer
    x = 6,093.38

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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.