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Finding the Fourth Proportional to 10,449.68, 15,673.74 and 4,904.28

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Solution

The fourth proportional to 10,449.68, 15,673.74 and 4,904.28 is: 7,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.68 : 15,673.74 = 4,904.28 : x
  2. Step 2: Convert to fraction form
    10,449.68/15,673.74 = 4,904.28/x
  3. Step 3: Cross multiply
    10,449.68x = 15,673.74 × 4,904.28
  4. Step 4: Simplify right side
    10,449.68x = 76,868,409.61
  5. Step 5: Solve for x
    x = 76,868,409.61/10,449.68
  6. Step 6: Final answer
    x = 7,356.06

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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.