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Finding the Fourth Proportional to 7,295.94, 10,945.71 and 2,101.77

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Solution

The fourth proportional to 7,295.94, 10,945.71 and 2,101.77 is: 3,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.94 : 10,945.71 = 2,101.77 : x
  2. Step 2: Convert to fraction form
    7,295.94/10,945.71 = 2,101.77/x
  3. Step 3: Cross multiply
    7,295.94x = 10,945.71 × 2,101.77
  4. Step 4: Simplify right side
    7,295.94x = 23,005,364.91
  5. Step 5: Solve for x
    x = 23,005,364.91/7,295.94
  6. Step 6: Final answer
    x = 3,153.17

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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.