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Finding the Fourth Proportional to 7,965.66, 11,946.91 and 7,570.52

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Solution

The fourth proportional to 7,965.66, 11,946.91 and 7,570.52 is: 11,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.66 : 11,946.91 = 7,570.52 : x
  2. Step 2: Convert to fraction form
    7,965.66/11,946.91 = 7,570.52/x
  3. Step 3: Cross multiply
    7,965.66x = 11,946.91 × 7,570.52
  4. Step 4: Simplify right side
    7,965.66x = 90,444,321.09
  5. Step 5: Solve for x
    x = 90,444,321.09/7,965.66
  6. Step 6: Final answer
    x = 11,354.28

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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.