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Finding the Fourth Proportional to 8,447.26, 11,653.50 and 5,088.10

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Solution

The fourth proportional to 8,447.26, 11,653.50 and 5,088.10 is: 7,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.26 : 11,653.50 = 5,088.10 : x
  2. Step 2: Convert to fraction form
    8,447.26/11,653.50 = 5,088.10/x
  3. Step 3: Cross multiply
    8,447.26x = 11,653.50 × 5,088.10
  4. Step 4: Simplify right side
    8,447.26x = 59,294,173.35
  5. Step 5: Solve for x
    x = 59,294,173.35/8,447.26
  6. Step 6: Final answer
    x = 7,019.34

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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.