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Finding the Fourth Proportional to 15,380, 23,071.62 and 7,058.60

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Solution

The fourth proportional to 15,380, 23,071.62 and 7,058.60 is: 10,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380 : 23,071.62 = 7,058.60 : x
  2. Step 2: Convert to fraction form
    15,380/23,071.62 = 7,058.60/x
  3. Step 3: Cross multiply
    15,380x = 23,071.62 × 7,058.60
  4. Step 4: Simplify right side
    15,380x = 162,853,336.93
  5. Step 5: Solve for x
    x = 162,853,336.93/15,380
  6. Step 6: Final answer
    x = 10,588.64

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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.