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Finding the Fourth Proportional to 10,265.36, 15,388.32 and 3,335

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Solution

The fourth proportional to 10,265.36, 15,388.32 and 3,335 is: 4,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.36 : 15,388.32 = 3,335 : x
  2. Step 2: Convert to fraction form
    10,265.36/15,388.32 = 3,335/x
  3. Step 3: Cross multiply
    10,265.36x = 15,388.32 × 3,335
  4. Step 4: Simplify right side
    10,265.36x = 51,320,047.20
  5. Step 5: Solve for x
    x = 51,320,047.20/10,265.36
  6. Step 6: Final answer
    x = 4,999.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.