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Finding the Fourth Proportional to 8,309.90, 11,468.34 and 4,725.98

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Solution

The fourth proportional to 8,309.90, 11,468.34 and 4,725.98 is: 6,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.90 : 11,468.34 = 4,725.98 : x
  2. Step 2: Convert to fraction form
    8,309.90/11,468.34 = 4,725.98/x
  3. Step 3: Cross multiply
    8,309.90x = 11,468.34 × 4,725.98
  4. Step 4: Simplify right side
    8,309.90x = 54,199,088.13
  5. Step 5: Solve for x
    x = 54,199,088.13/8,309.90
  6. Step 6: Final answer
    x = 6,522.24

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