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Finding the Fourth Proportional to 11,855.23, 16,359.77 and 6,549.93

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Solution

The fourth proportional to 11,855.23, 16,359.77 and 6,549.93 is: 9,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.23 : 16,359.77 = 6,549.93 : x
  2. Step 2: Convert to fraction form
    11,855.23/16,359.77 = 6,549.93/x
  3. Step 3: Cross multiply
    11,855.23x = 16,359.77 × 6,549.93
  4. Step 4: Simplify right side
    11,855.23x = 107,155,364.69
  5. Step 5: Solve for x
    x = 107,155,364.69/11,855.23
  6. Step 6: Final answer
    x = 9,038.66

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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.