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Finding the Fourth Proportional to 10,500.06, 14,490.08 and 5,784.34

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Solution

The fourth proportional to 10,500.06, 14,490.08 and 5,784.34 is: 7,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.06 : 14,490.08 = 5,784.34 : x
  2. Step 2: Convert to fraction form
    10,500.06/14,490.08 = 5,784.34/x
  3. Step 3: Cross multiply
    10,500.06x = 14,490.08 × 5,784.34
  4. Step 4: Simplify right side
    10,500.06x = 83,815,549.35
  5. Step 5: Solve for x
    x = 83,815,549.35/10,500.06
  6. Step 6: Final answer
    x = 7,982.39

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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.