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Finding the Fourth Proportional to 9,518.82, 14,252.31 and 7,403.10

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Solution

The fourth proportional to 9,518.82, 14,252.31 and 7,403.10 is: 11,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.82 : 14,252.31 = 7,403.10 : x
  2. Step 2: Convert to fraction form
    9,518.82/14,252.31 = 7,403.10/x
  3. Step 3: Cross multiply
    9,518.82x = 14,252.31 × 7,403.10
  4. Step 4: Simplify right side
    9,518.82x = 105,511,276.16
  5. Step 5: Solve for x
    x = 105,511,276.16/9,518.82
  6. Step 6: Final answer
    x = 11,084.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.