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Finding the Fourth Proportional to 10,970.84, 16,491.90 and 8,803.28

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Solution

The fourth proportional to 10,970.84, 16,491.90 and 8,803.28 is: 13,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.84 : 16,491.90 = 8,803.28 : x
  2. Step 2: Convert to fraction form
    10,970.84/16,491.90 = 8,803.28/x
  3. Step 3: Cross multiply
    10,970.84x = 16,491.90 × 8,803.28
  4. Step 4: Simplify right side
    10,970.84x = 145,182,813.43
  5. Step 5: Solve for x
    x = 145,182,813.43/10,970.84
  6. Step 6: Final answer
    x = 13,233.52

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Why These Related Problems?

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