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Finding the Fourth Proportional to 10,590.94, 14,615.65 and 5,811.36

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Solution

The fourth proportional to 10,590.94, 14,615.65 and 5,811.36 is: 8,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.94 : 14,615.65 = 5,811.36 : x
  2. Step 2: Convert to fraction form
    10,590.94/14,615.65 = 5,811.36/x
  3. Step 3: Cross multiply
    10,590.94x = 14,615.65 × 5,811.36
  4. Step 4: Simplify right side
    10,590.94x = 84,936,774.73
  5. Step 5: Solve for x
    x = 84,936,774.73/10,590.94
  6. Step 6: Final answer
    x = 8,019.76

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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.