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Finding the Fourth Proportional to 5,300.12, 7,937.88 and 5,115.60

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Solution

The fourth proportional to 5,300.12, 7,937.88 and 5,115.60 is: 7,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.12 : 7,937.88 = 5,115.60 : x
  2. Step 2: Convert to fraction form
    5,300.12/7,937.88 = 5,115.60/x
  3. Step 3: Cross multiply
    5,300.12x = 7,937.88 × 5,115.60
  4. Step 4: Simplify right side
    5,300.12x = 40,607,018.93
  5. Step 5: Solve for x
    x = 40,607,018.93/5,300.12
  6. Step 6: Final answer
    x = 7,661.52

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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.