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Finding the Fourth Proportional to 10,970.19, 16,445.57 and 8,384.67

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Solution

The fourth proportional to 10,970.19, 16,445.57 and 8,384.67 is: 12,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.19 : 16,445.57 = 8,384.67 : x
  2. Step 2: Convert to fraction form
    10,970.19/16,445.57 = 8,384.67/x
  3. Step 3: Cross multiply
    10,970.19x = 16,445.57 × 8,384.67
  4. Step 4: Simplify right side
    10,970.19x = 137,890,635.49
  5. Step 5: Solve for x
    x = 137,890,635.49/10,970.19
  6. Step 6: Final answer
    x = 12,569.58

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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.