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Finding the Fourth Proportional to 8,328.37, 11,491.46 and 4,970.11

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Solution

The fourth proportional to 8,328.37, 11,491.46 and 4,970.11 is: 6,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.37 : 11,491.46 = 4,970.11 : x
  2. Step 2: Convert to fraction form
    8,328.37/11,491.46 = 4,970.11/x
  3. Step 3: Cross multiply
    8,328.37x = 11,491.46 × 4,970.11
  4. Step 4: Simplify right side
    8,328.37x = 57,113,795.41
  5. Step 5: Solve for x
    x = 57,113,795.41/8,328.37
  6. Step 6: Final answer
    x = 6,857.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.