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Finding the Fourth Proportional to 10,483.80, 14,467.86 and 6,007.02

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Solution

The fourth proportional to 10,483.80, 14,467.86 and 6,007.02 is: 8,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.80 : 14,467.86 = 6,007.02 : x
  2. Step 2: Convert to fraction form
    10,483.80/14,467.86 = 6,007.02/x
  3. Step 3: Cross multiply
    10,483.80x = 14,467.86 × 6,007.02
  4. Step 4: Simplify right side
    10,483.80x = 86,908,724.38
  5. Step 5: Solve for x
    x = 86,908,724.38/10,483.80
  6. Step 6: Final answer
    x = 8,289.81

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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.