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Finding the Fourth Proportional to 10,399.74, 15,602.26 and 3,004.76

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Solution

The fourth proportional to 10,399.74, 15,602.26 and 3,004.76 is: 4,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.74 : 15,602.26 = 3,004.76 : x
  2. Step 2: Convert to fraction form
    10,399.74/15,602.26 = 3,004.76/x
  3. Step 3: Cross multiply
    10,399.74x = 15,602.26 × 3,004.76
  4. Step 4: Simplify right side
    10,399.74x = 46,881,046.76
  5. Step 5: Solve for x
    x = 46,881,046.76/10,399.74
  6. Step 6: Final answer
    x = 4,507.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.