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Finding the Fourth Proportional to 10,407.05, 14,360.05 and 5,930.89

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Solution

The fourth proportional to 10,407.05, 14,360.05 and 5,930.89 is: 8,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.05 : 14,360.05 = 5,930.89 : x
  2. Step 2: Convert to fraction form
    10,407.05/14,360.05 = 5,930.89/x
  3. Step 3: Cross multiply
    10,407.05x = 14,360.05 × 5,930.89
  4. Step 4: Simplify right side
    10,407.05x = 85,167,848.46
  5. Step 5: Solve for x
    x = 85,167,848.46/10,407.05
  6. Step 6: Final answer
    x = 8,183.67

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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.