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Finding the Fourth Proportional to 10,570.77, 14,587.83 and 5,790.64

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Solution

The fourth proportional to 10,570.77, 14,587.83 and 5,790.64 is: 7,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.77 : 14,587.83 = 5,790.64 : x
  2. Step 2: Convert to fraction form
    10,570.77/14,587.83 = 5,790.64/x
  3. Step 3: Cross multiply
    10,570.77x = 14,587.83 × 5,790.64
  4. Step 4: Simplify right side
    10,570.77x = 84,472,871.91
  5. Step 5: Solve for x
    x = 84,472,871.91/10,570.77
  6. Step 6: Final answer
    x = 7,991.17

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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.