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Finding the Fourth Proportional to 10,730.34, 16,100.13 and 5,803.45

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Solution

The fourth proportional to 10,730.34, 16,100.13 and 5,803.45 is: 8,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.34 : 16,100.13 = 5,803.45 : x
  2. Step 2: Convert to fraction form
    10,730.34/16,100.13 = 5,803.45/x
  3. Step 3: Cross multiply
    10,730.34x = 16,100.13 × 5,803.45
  4. Step 4: Simplify right side
    10,730.34x = 93,436,280.96
  5. Step 5: Solve for x
    x = 93,436,280.96/10,730.34
  6. Step 6: Final answer
    x = 8,707.67

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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.