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Finding the Fourth Proportional to 10,790.96, 14,883 and 7,064.24

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Solution

The fourth proportional to 10,790.96, 14,883 and 7,064.24 is: 9,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.96 : 14,883 = 7,064.24 : x
  2. Step 2: Convert to fraction form
    10,790.96/14,883 = 7,064.24/x
  3. Step 3: Cross multiply
    10,790.96x = 14,883 × 7,064.24
  4. Step 4: Simplify right side
    10,790.96x = 105,137,083.92
  5. Step 5: Solve for x
    x = 105,137,083.92/10,790.96
  6. Step 6: Final answer
    x = 9,743.07

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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.