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Finding the Fourth Proportional to 7,955.01, 10,978.13 and 4,809.38

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Solution

The fourth proportional to 7,955.01, 10,978.13 and 4,809.38 is: 6,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.01 : 10,978.13 = 4,809.38 : x
  2. Step 2: Convert to fraction form
    7,955.01/10,978.13 = 4,809.38/x
  3. Step 3: Cross multiply
    7,955.01x = 10,978.13 × 4,809.38
  4. Step 4: Simplify right side
    7,955.01x = 52,797,955.99
  5. Step 5: Solve for x
    x = 52,797,955.99/7,955.01
  6. Step 6: Final answer
    x = 6,637.07

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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.