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Finding the Fourth Proportional to 10,890.81, 15,027 and 6,412.93

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Solution

The fourth proportional to 10,890.81, 15,027 and 6,412.93 is: 8,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.81 : 15,027 = 6,412.93 : x
  2. Step 2: Convert to fraction form
    10,890.81/15,027 = 6,412.93/x
  3. Step 3: Cross multiply
    10,890.81x = 15,027 × 6,412.93
  4. Step 4: Simplify right side
    10,890.81x = 96,367,099.11
  5. Step 5: Solve for x
    x = 96,367,099.11/10,890.81
  6. Step 6: Final answer
    x = 8,848.48

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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.