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Finding the Fourth Proportional to 10,581.40, 14,602.80 and 6,105.16

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Solution

The fourth proportional to 10,581.40, 14,602.80 and 6,105.16 is: 8,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.40 : 14,602.80 = 6,105.16 : x
  2. Step 2: Convert to fraction form
    10,581.40/14,602.80 = 6,105.16/x
  3. Step 3: Cross multiply
    10,581.40x = 14,602.80 × 6,105.16
  4. Step 4: Simplify right side
    10,581.40x = 89,152,430.45
  5. Step 5: Solve for x
    x = 89,152,430.45/10,581.40
  6. Step 6: Final answer
    x = 8,425.39

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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.