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Finding the Fourth Proportional to 10,057.32, 15,091.01 and 4,514.63

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Solution

The fourth proportional to 10,057.32, 15,091.01 and 4,514.63 is: 6,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.32 : 15,091.01 = 4,514.63 : x
  2. Step 2: Convert to fraction form
    10,057.32/15,091.01 = 4,514.63/x
  3. Step 3: Cross multiply
    10,057.32x = 15,091.01 × 4,514.63
  4. Step 4: Simplify right side
    10,057.32x = 68,130,228.45
  5. Step 5: Solve for x
    x = 68,130,228.45/10,057.32
  6. Step 6: Final answer
    x = 6,774.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.