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Finding the Fourth Proportional to 7,644.33, 10,549.20 and 4,459.83

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Solution

The fourth proportional to 7,644.33, 10,549.20 and 4,459.83 is: 6,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.33 : 10,549.20 = 4,459.83 : x
  2. Step 2: Convert to fraction form
    7,644.33/10,549.20 = 4,459.83/x
  3. Step 3: Cross multiply
    7,644.33x = 10,549.20 × 4,459.83
  4. Step 4: Simplify right side
    7,644.33x = 47,047,638.64
  5. Step 5: Solve for x
    x = 47,047,638.64/7,644.33
  6. Step 6: Final answer
    x = 6,154.58

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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.