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Finding the Fourth Proportional to 10,416, 15,594.88 and 8,589.12

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Solution

The fourth proportional to 10,416, 15,594.88 and 8,589.12 is: 12,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416 : 15,594.88 = 8,589.12 : x
  2. Step 2: Convert to fraction form
    10,416/15,594.88 = 8,589.12/x
  3. Step 3: Cross multiply
    10,416x = 15,594.88 × 8,589.12
  4. Step 4: Simplify right side
    10,416x = 133,946,295.71
  5. Step 5: Solve for x
    x = 133,946,295.71/10,416
  6. Step 6: Final answer
    x = 12,859.67

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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.