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Finding the Fourth Proportional to 10,319.99, 15,466.01 and 4,690.67

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Solution

The fourth proportional to 10,319.99, 15,466.01 and 4,690.67 is: 7,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.99 : 15,466.01 = 4,690.67 : x
  2. Step 2: Convert to fraction form
    10,319.99/15,466.01 = 4,690.67/x
  3. Step 3: Cross multiply
    10,319.99x = 15,466.01 × 4,690.67
  4. Step 4: Simplify right side
    10,319.99x = 72,545,949.13
  5. Step 5: Solve for x
    x = 72,545,949.13/10,319.99
  6. Step 6: Final answer
    x = 7,029.65

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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.