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Finding the Fourth Proportional to 7,352.63, 10,146.63 and 4,208.82

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Solution

The fourth proportional to 7,352.63, 10,146.63 and 4,208.82 is: 5,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.63 : 10,146.63 = 4,208.82 : x
  2. Step 2: Convert to fraction form
    7,352.63/10,146.63 = 4,208.82/x
  3. Step 3: Cross multiply
    7,352.63x = 10,146.63 × 4,208.82
  4. Step 4: Simplify right side
    7,352.63x = 42,705,339.28
  5. Step 5: Solve for x
    x = 42,705,339.28/7,352.63
  6. Step 6: Final answer
    x = 5,808.18

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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.