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Finding the Fourth Proportional to 7,298.44, 10,946.04 and 2,104.72

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Solution

The fourth proportional to 7,298.44, 10,946.04 and 2,104.72 is: 3,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.44 : 10,946.04 = 2,104.72 : x
  2. Step 2: Convert to fraction form
    7,298.44/10,946.04 = 2,104.72/x
  3. Step 3: Cross multiply
    7,298.44x = 10,946.04 × 2,104.72
  4. Step 4: Simplify right side
    7,298.44x = 23,038,349.31
  5. Step 5: Solve for x
    x = 23,038,349.31/7,298.44
  6. Step 6: Final answer
    x = 3,156.61

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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.