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Finding the Fourth Proportional to 7,256.21, 10,009.31 and 4,563.16

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Solution

The fourth proportional to 7,256.21, 10,009.31 and 4,563.16 is: 6,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.21 : 10,009.31 = 4,563.16 : x
  2. Step 2: Convert to fraction form
    7,256.21/10,009.31 = 4,563.16/x
  3. Step 3: Cross multiply
    7,256.21x = 10,009.31 × 4,563.16
  4. Step 4: Simplify right side
    7,256.21x = 45,674,035.18
  5. Step 5: Solve for x
    x = 45,674,035.18/7,256.21
  6. Step 6: Final answer
    x = 6,294.48

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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.