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Finding the Fourth Proportional to 10,782.55, 16,078.60 and 9,471.67

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Solution

The fourth proportional to 10,782.55, 16,078.60 and 9,471.67 is: 14,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.55 : 16,078.60 = 9,471.67 : x
  2. Step 2: Convert to fraction form
    10,782.55/16,078.60 = 9,471.67/x
  3. Step 3: Cross multiply
    10,782.55x = 16,078.60 × 9,471.67
  4. Step 4: Simplify right side
    10,782.55x = 152,291,193.26
  5. Step 5: Solve for x
    x = 152,291,193.26/10,782.55
  6. Step 6: Final answer
    x = 14,123.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.