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Finding the Fourth Proportional to 7,405.14, 10,219.06 and 4,047.95

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Solution

The fourth proportional to 7,405.14, 10,219.06 and 4,047.95 is: 5,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.14 : 10,219.06 = 4,047.95 : x
  2. Step 2: Convert to fraction form
    7,405.14/10,219.06 = 4,047.95/x
  3. Step 3: Cross multiply
    7,405.14x = 10,219.06 × 4,047.95
  4. Step 4: Simplify right side
    7,405.14x = 41,366,254.05
  5. Step 5: Solve for x
    x = 41,366,254.05/7,405.14
  6. Step 6: Final answer
    x = 5,586.16

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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.