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Finding the Fourth Proportional to 25,187.93, 37,784.00 and 7,657.91

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Solution

The fourth proportional to 25,187.93, 37,784.00 and 7,657.91 is: 11,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.93 : 37,784.00 = 7,657.91 : x
  2. Step 2: Convert to fraction form
    25,187.93/37,784.00 = 7,657.91/x
  3. Step 3: Cross multiply
    25,187.93x = 37,784.00 × 7,657.91
  4. Step 4: Simplify right side
    25,187.93x = 289,346,301.66
  5. Step 5: Solve for x
    x = 289,346,301.66/25,187.93
  6. Step 6: Final answer
    x = 11,487.50

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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.