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Finding the Fourth Proportional to 7,256.30, 10,014.21 and 4,191.08

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Solution

The fourth proportional to 7,256.30, 10,014.21 and 4,191.08 is: 5,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.30 : 10,014.21 = 4,191.08 : x
  2. Step 2: Convert to fraction form
    7,256.30/10,014.21 = 4,191.08/x
  3. Step 3: Cross multiply
    7,256.30x = 10,014.21 × 4,191.08
  4. Step 4: Simplify right side
    7,256.30x = 41,970,305.18
  5. Step 5: Solve for x
    x = 41,970,305.18/7,256.30
  6. Step 6: Final answer
    x = 5,783.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.