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Finding the Fourth Proportional to 11,809.23, 16,296.62 and 6,503.93

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Solution

The fourth proportional to 11,809.23, 16,296.62 and 6,503.93 is: 8,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.23 : 16,296.62 = 6,503.93 : x
  2. Step 2: Convert to fraction form
    11,809.23/16,296.62 = 6,503.93/x
  3. Step 3: Cross multiply
    11,809.23x = 16,296.62 × 6,503.93
  4. Step 4: Simplify right side
    11,809.23x = 105,992,075.72
  5. Step 5: Solve for x
    x = 105,992,075.72/11,809.23
  6. Step 6: Final answer
    x = 8,975.36

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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.