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Finding the Fourth Proportional to 8,005.03, 11,047.10 and 4,646.62

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Solution

The fourth proportional to 8,005.03, 11,047.10 and 4,646.62 is: 6,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.03 : 11,047.10 = 4,646.62 : x
  2. Step 2: Convert to fraction form
    8,005.03/11,047.10 = 4,646.62/x
  3. Step 3: Cross multiply
    8,005.03x = 11,047.10 × 4,646.62
  4. Step 4: Simplify right side
    8,005.03x = 51,331,666.38
  5. Step 5: Solve for x
    x = 51,331,666.38/8,005.03
  6. Step 6: Final answer
    x = 6,412.43

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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.