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Finding the Fourth Proportional to 10,483.60, 14,467.02 and 5,767.87

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Solution

The fourth proportional to 10,483.60, 14,467.02 and 5,767.87 is: 7,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.60 : 14,467.02 = 5,767.87 : x
  2. Step 2: Convert to fraction form
    10,483.60/14,467.02 = 5,767.87/x
  3. Step 3: Cross multiply
    10,483.60x = 14,467.02 × 5,767.87
  4. Step 4: Simplify right side
    10,483.60x = 83,443,890.65
  5. Step 5: Solve for x
    x = 83,443,890.65/10,483.60
  6. Step 6: Final answer
    x = 7,959.47

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