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Finding the Fourth Proportional to 11,653.52, 17,477.22 and 7,955.06

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Solution

The fourth proportional to 11,653.52, 17,477.22 and 7,955.06 is: 11,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.52 : 17,477.22 = 7,955.06 : x
  2. Step 2: Convert to fraction form
    11,653.52/17,477.22 = 7,955.06/x
  3. Step 3: Cross multiply
    11,653.52x = 17,477.22 × 7,955.06
  4. Step 4: Simplify right side
    11,653.52x = 139,032,333.73
  5. Step 5: Solve for x
    x = 139,032,333.73/11,653.52
  6. Step 6: Final answer
    x = 11,930.50

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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.