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Finding the Fourth Proportional to 10,060.36, 13,884.36 and 7,666

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Solution

The fourth proportional to 10,060.36, 13,884.36 and 7,666 is: 10,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.36 : 13,884.36 = 7,666 : x
  2. Step 2: Convert to fraction form
    10,060.36/13,884.36 = 7,666/x
  3. Step 3: Cross multiply
    10,060.36x = 13,884.36 × 7,666
  4. Step 4: Simplify right side
    10,060.36x = 106,437,503.76
  5. Step 5: Solve for x
    x = 106,437,503.76/10,060.36
  6. Step 6: Final answer
    x = 10,579.89

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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.