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Finding the Fourth Proportional to 10,666.98, 16,002.35 and 3,645.35

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Solution

The fourth proportional to 10,666.98, 16,002.35 and 3,645.35 is: 5,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.98 : 16,002.35 = 3,645.35 : x
  2. Step 2: Convert to fraction form
    10,666.98/16,002.35 = 3,645.35/x
  3. Step 3: Cross multiply
    10,666.98x = 16,002.35 × 3,645.35
  4. Step 4: Simplify right side
    10,666.98x = 58,334,166.57
  5. Step 5: Solve for x
    x = 58,334,166.57/10,666.98
  6. Step 6: Final answer
    x = 5,468.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.