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Finding the Fourth Proportional to 7,405.53, 10,219.64 and 4,261.72

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Solution

The fourth proportional to 7,405.53, 10,219.64 and 4,261.72 is: 5,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.53 : 10,219.64 = 4,261.72 : x
  2. Step 2: Convert to fraction form
    7,405.53/10,219.64 = 4,261.72/x
  3. Step 3: Cross multiply
    7,405.53x = 10,219.64 × 4,261.72
  4. Step 4: Simplify right side
    7,405.53x = 43,553,244.18
  5. Step 5: Solve for x
    x = 43,553,244.18/7,405.53
  6. Step 6: Final answer
    x = 5,881.18

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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.