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Finding the Fourth Proportional to 7,293.80, 10,946.10 and 4,827.80

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Solution

The fourth proportional to 7,293.80, 10,946.10 and 4,827.80 is: 7,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.80 : 10,946.10 = 4,827.80 : x
  2. Step 2: Convert to fraction form
    7,293.80/10,946.10 = 4,827.80/x
  3. Step 3: Cross multiply
    7,293.80x = 10,946.10 × 4,827.80
  4. Step 4: Simplify right side
    7,293.80x = 52,845,581.58
  5. Step 5: Solve for x
    x = 52,845,581.58/7,293.80
  6. Step 6: Final answer
    x = 7,245.27

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