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Finding the Fourth Proportional to 7,460.69, 11,235.45 and 6,498.41

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Solution

The fourth proportional to 7,460.69, 11,235.45 and 6,498.41 is: 9,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.69 : 11,235.45 = 6,498.41 : x
  2. Step 2: Convert to fraction form
    7,460.69/11,235.45 = 6,498.41/x
  3. Step 3: Cross multiply
    7,460.69x = 11,235.45 × 6,498.41
  4. Step 4: Simplify right side
    7,460.69x = 73,012,528.83
  5. Step 5: Solve for x
    x = 73,012,528.83/7,460.69
  6. Step 6: Final answer
    x = 9,786.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.