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Finding the Fourth Proportional to 25,203.56, 37,804.06 and 7,673

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Solution

The fourth proportional to 25,203.56, 37,804.06 and 7,673 is: 11,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.56 : 37,804.06 = 7,673 : x
  2. Step 2: Convert to fraction form
    25,203.56/37,804.06 = 7,673/x
  3. Step 3: Cross multiply
    25,203.56x = 37,804.06 × 7,673
  4. Step 4: Simplify right side
    25,203.56x = 290,070,552.38
  5. Step 5: Solve for x
    x = 290,070,552.38/25,203.56
  6. Step 6: Final answer
    x = 11,509.11

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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.