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Finding the Fourth Proportional to 10,491.50, 14,478.19 and 5,775.68

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Solution

The fourth proportional to 10,491.50, 14,478.19 and 5,775.68 is: 7,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.50 : 14,478.19 = 5,775.68 : x
  2. Step 2: Convert to fraction form
    10,491.50/14,478.19 = 5,775.68/x
  3. Step 3: Cross multiply
    10,491.50x = 14,478.19 × 5,775.68
  4. Step 4: Simplify right side
    10,491.50x = 83,621,305.59
  5. Step 5: Solve for x
    x = 83,621,305.59/10,491.50
  6. Step 6: Final answer
    x = 7,970.39

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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.