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Finding the Fourth Proportional to 7,953.02, 10,972.95 and 4,971.89

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Solution

The fourth proportional to 7,953.02, 10,972.95 and 4,971.89 is: 6,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.02 : 10,972.95 = 4,971.89 : x
  2. Step 2: Convert to fraction form
    7,953.02/10,972.95 = 4,971.89/x
  3. Step 3: Cross multiply
    7,953.02x = 10,972.95 × 4,971.89
  4. Step 4: Simplify right side
    7,953.02x = 54,556,300.38
  5. Step 5: Solve for x
    x = 54,556,300.38/7,953.02
  6. Step 6: Final answer
    x = 6,859.82

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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.