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Finding the Fourth Proportional to 11,653.93, 16,088.38 and 7,896.95

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Solution

The fourth proportional to 11,653.93, 16,088.38 and 7,896.95 is: 10,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.93 : 16,088.38 = 7,896.95 : x
  2. Step 2: Convert to fraction form
    11,653.93/16,088.38 = 7,896.95/x
  3. Step 3: Cross multiply
    11,653.93x = 16,088.38 × 7,896.95
  4. Step 4: Simplify right side
    11,653.93x = 127,049,032.26
  5. Step 5: Solve for x
    x = 127,049,032.26/11,653.93
  6. Step 6: Final answer
    x = 10,901.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.