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Finding the Fourth Proportional to 7,777.48, 11,653.02 and 4,693

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Solution

The fourth proportional to 7,777.48, 11,653.02 and 4,693 is: 7,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.48 : 11,653.02 = 4,693 : x
  2. Step 2: Convert to fraction form
    7,777.48/11,653.02 = 4,693/x
  3. Step 3: Cross multiply
    7,777.48x = 11,653.02 × 4,693
  4. Step 4: Simplify right side
    7,777.48x = 54,687,622.86
  5. Step 5: Solve for x
    x = 54,687,622.86/7,777.48
  6. Step 6: Final answer
    x = 7,031.54

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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.