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Finding the Fourth Proportional to 11,592.96, 16,009.62 and 9,904.50

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Solution

The fourth proportional to 11,592.96, 16,009.62 and 9,904.50 is: 13,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.96 : 16,009.62 = 9,904.50 : x
  2. Step 2: Convert to fraction form
    11,592.96/16,009.62 = 9,904.50/x
  3. Step 3: Cross multiply
    11,592.96x = 16,009.62 × 9,904.50
  4. Step 4: Simplify right side
    11,592.96x = 158,567,281.29
  5. Step 5: Solve for x
    x = 158,567,281.29/11,592.96
  6. Step 6: Final answer
    x = 13,677.89

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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.