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Finding the Fourth Proportional to 10,900.48, 15,016 and 7,907.52

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Solution

The fourth proportional to 10,900.48, 15,016 and 7,907.52 is: 10,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.48 : 15,016 = 7,907.52 : x
  2. Step 2: Convert to fraction form
    10,900.48/15,016 = 7,907.52/x
  3. Step 3: Cross multiply
    10,900.48x = 15,016 × 7,907.52
  4. Step 4: Simplify right side
    10,900.48x = 118,739,320.32
  5. Step 5: Solve for x
    x = 118,739,320.32/10,900.48
  6. Step 6: Final answer
    x = 10,893.04

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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.