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Finding the Fourth Proportional to 7,946.91, 10,963.71 and 4,588.50

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Solution

The fourth proportional to 7,946.91, 10,963.71 and 4,588.50 is: 6,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.91 : 10,963.71 = 4,588.50 : x
  2. Step 2: Convert to fraction form
    7,946.91/10,963.71 = 4,588.50/x
  3. Step 3: Cross multiply
    7,946.91x = 10,963.71 × 4,588.50
  4. Step 4: Simplify right side
    7,946.91x = 50,306,994.81
  5. Step 5: Solve for x
    x = 50,306,994.81/7,946.91
  6. Step 6: Final answer
    x = 6,330.38

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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.