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Finding the Fourth Proportional to 11,885.94, 16,402.50 and 6,580.65

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Solution

The fourth proportional to 11,885.94, 16,402.50 and 6,580.65 is: 9,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.94 : 16,402.50 = 6,580.65 : x
  2. Step 2: Convert to fraction form
    11,885.94/16,402.50 = 6,580.65/x
  3. Step 3: Cross multiply
    11,885.94x = 16,402.50 × 6,580.65
  4. Step 4: Simplify right side
    11,885.94x = 107,939,111.63
  5. Step 5: Solve for x
    x = 107,939,111.63/11,885.94
  6. Step 6: Final answer
    x = 9,081.24

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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.