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Finding the Fourth Proportional to 10,669.51, 14,723.94 and 5,953.69

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Solution

The fourth proportional to 10,669.51, 14,723.94 and 5,953.69 is: 8,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.51 : 14,723.94 = 5,953.69 : x
  2. Step 2: Convert to fraction form
    10,669.51/14,723.94 = 5,953.69/x
  3. Step 3: Cross multiply
    10,669.51x = 14,723.94 × 5,953.69
  4. Step 4: Simplify right side
    10,669.51x = 87,661,774.34
  5. Step 5: Solve for x
    x = 87,661,774.34/10,669.51
  6. Step 6: Final answer
    x = 8,216.10

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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.