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Finding the Fourth Proportional to 25,237.80, 37,856.70 and 7,707.60

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Solution

The fourth proportional to 25,237.80, 37,856.70 and 7,707.60 is: 11,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,237.80 : 37,856.70 = 7,707.60 : x
  2. Step 2: Convert to fraction form
    25,237.80/37,856.70 = 7,707.60/x
  3. Step 3: Cross multiply
    25,237.80x = 37,856.70 × 7,707.60
  4. Step 4: Simplify right side
    25,237.80x = 291,784,300.92
  5. Step 5: Solve for x
    x = 291,784,300.92/25,237.80
  6. Step 6: Final answer
    x = 11,561.40

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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.