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Finding the Fourth Proportional to 7,530.54, 11,287.14 and 4,060.50

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Solution

The fourth proportional to 7,530.54, 11,287.14 and 4,060.50 is: 6,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.54 : 11,287.14 = 4,060.50 : x
  2. Step 2: Convert to fraction form
    7,530.54/11,287.14 = 4,060.50/x
  3. Step 3: Cross multiply
    7,530.54x = 11,287.14 × 4,060.50
  4. Step 4: Simplify right side
    7,530.54x = 45,831,431.97
  5. Step 5: Solve for x
    x = 45,831,431.97/7,530.54
  6. Step 6: Final answer
    x = 6,086.08

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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.