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Finding the Fourth Proportional to 10,460.64, 15,627.75 and 6,732.48

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Solution

The fourth proportional to 10,460.64, 15,627.75 and 6,732.48 is: 10,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.64 : 15,627.75 = 6,732.48 : x
  2. Step 2: Convert to fraction form
    10,460.64/15,627.75 = 6,732.48/x
  3. Step 3: Cross multiply
    10,460.64x = 15,627.75 × 6,732.48
  4. Step 4: Simplify right side
    10,460.64x = 105,213,514.32
  5. Step 5: Solve for x
    x = 105,213,514.32/10,460.64
  6. Step 6: Final answer
    x = 10,058.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.