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Finding the Fourth Proportional to 7,952.98, 11,905.71 and 4,823.50

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Solution

The fourth proportional to 7,952.98, 11,905.71 and 4,823.50 is: 7,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.98 : 11,905.71 = 4,823.50 : x
  2. Step 2: Convert to fraction form
    7,952.98/11,905.71 = 4,823.50/x
  3. Step 3: Cross multiply
    7,952.98x = 11,905.71 × 4,823.50
  4. Step 4: Simplify right side
    7,952.98x = 57,427,192.19
  5. Step 5: Solve for x
    x = 57,427,192.19/7,952.98
  6. Step 6: Final answer
    x = 7,220.84

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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.