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Finding the Fourth Proportional to 10,080, 13,910.40 and 5,664

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Solution

The fourth proportional to 10,080, 13,910.40 and 5,664 is: 7,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 13,910.40 = 5,664 : x
  2. Step 2: Convert to fraction form
    10,080/13,910.40 = 5,664/x
  3. Step 3: Cross multiply
    10,080x = 13,910.40 × 5,664
  4. Step 4: Simplify right side
    10,080x = 78,788,505.60
  5. Step 5: Solve for x
    x = 78,788,505.60/10,080
  6. Step 6: Final answer
    x = 7,816.32

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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.