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Finding the Fourth Proportional to 10,496.67, 14,485.65 and 5,780.94

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Solution

The fourth proportional to 10,496.67, 14,485.65 and 5,780.94 is: 7,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.67 : 14,485.65 = 5,780.94 : x
  2. Step 2: Convert to fraction form
    10,496.67/14,485.65 = 5,780.94/x
  3. Step 3: Cross multiply
    10,496.67x = 14,485.65 × 5,780.94
  4. Step 4: Simplify right side
    10,496.67x = 83,740,673.51
  5. Step 5: Solve for x
    x = 83,740,673.51/10,496.67
  6. Step 6: Final answer
    x = 7,977.83

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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.