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Finding the Fourth Proportional to 10,630.38, 14,662.44 and 7,602.60

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Solution

The fourth proportional to 10,630.38, 14,662.44 and 7,602.60 is: 10,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.38 : 14,662.44 = 7,602.60 : x
  2. Step 2: Convert to fraction form
    10,630.38/14,662.44 = 7,602.60/x
  3. Step 3: Cross multiply
    10,630.38x = 14,662.44 × 7,602.60
  4. Step 4: Simplify right side
    10,630.38x = 111,472,666.34
  5. Step 5: Solve for x
    x = 111,472,666.34/10,630.38
  6. Step 6: Final answer
    x = 10,486.24

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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.