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Finding the Fourth Proportional to 25,280.02, 37,918.86 and 7,750

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Solution

The fourth proportional to 25,280.02, 37,918.86 and 7,750 is: 11,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.02 : 37,918.86 = 7,750 : x
  2. Step 2: Convert to fraction form
    25,280.02/37,918.86 = 7,750/x
  3. Step 3: Cross multiply
    25,280.02x = 37,918.86 × 7,750
  4. Step 4: Simplify right side
    25,280.02x = 293,871,165
  5. Step 5: Solve for x
    x = 293,871,165/25,280.02
  6. Step 6: Final answer
    x = 11,624.64

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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.