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Finding the Fourth Proportional to 7,412.94, 10,230 and 4,055.97

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Solution

The fourth proportional to 7,412.94, 10,230 and 4,055.97 is: 5,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.94 : 10,230 = 4,055.97 : x
  2. Step 2: Convert to fraction form
    7,412.94/10,230 = 4,055.97/x
  3. Step 3: Cross multiply
    7,412.94x = 10,230 × 4,055.97
  4. Step 4: Simplify right side
    7,412.94x = 41,492,573.10
  5. Step 5: Solve for x
    x = 41,492,573.10/7,412.94
  6. Step 6: Final answer
    x = 5,597.32

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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.