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Finding the Fourth Proportional to 10,454.34, 14,427.29 and 5,916.67

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Solution

The fourth proportional to 10,454.34, 14,427.29 and 5,916.67 is: 8,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.34 : 14,427.29 = 5,916.67 : x
  2. Step 2: Convert to fraction form
    10,454.34/14,427.29 = 5,916.67/x
  3. Step 3: Cross multiply
    10,454.34x = 14,427.29 × 5,916.67
  4. Step 4: Simplify right side
    10,454.34x = 85,361,513.92
  5. Step 5: Solve for x
    x = 85,361,513.92/10,454.34
  6. Step 6: Final answer
    x = 8,165.17

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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.