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Finding the Fourth Proportional to 11,445, 15,783.30 and 7,469.16

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Solution

The fourth proportional to 11,445, 15,783.30 and 7,469.16 is: 10,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445 : 15,783.30 = 7,469.16 : x
  2. Step 2: Convert to fraction form
    11,445/15,783.30 = 7,469.16/x
  3. Step 3: Cross multiply
    11,445x = 15,783.30 × 7,469.16
  4. Step 4: Simplify right side
    11,445x = 117,887,993.03
  5. Step 5: Solve for x
    x = 117,887,993.03/11,445
  6. Step 6: Final answer
    x = 10,300.39

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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.