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Finding the Fourth Proportional to 7,850.24, 11,775.12 and 2,656.16

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Solution

The fourth proportional to 7,850.24, 11,775.12 and 2,656.16 is: 3,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.24 : 11,775.12 = 2,656.16 : x
  2. Step 2: Convert to fraction form
    7,850.24/11,775.12 = 2,656.16/x
  3. Step 3: Cross multiply
    7,850.24x = 11,775.12 × 2,656.16
  4. Step 4: Simplify right side
    7,850.24x = 31,276,602.74
  5. Step 5: Solve for x
    x = 31,276,602.74/7,850.24
  6. Step 6: Final answer
    x = 3,984.16

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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.