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Finding the Fourth Proportional to 7,457.07, 11,046 and 7,374.09

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Solution

The fourth proportional to 7,457.07, 11,046 and 7,374.09 is: 10,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.07 : 11,046 = 7,374.09 : x
  2. Step 2: Convert to fraction form
    7,457.07/11,046 = 7,374.09/x
  3. Step 3: Cross multiply
    7,457.07x = 11,046 × 7,374.09
  4. Step 4: Simplify right side
    7,457.07x = 81,454,198.14
  5. Step 5: Solve for x
    x = 81,454,198.14/7,457.07
  6. Step 6: Final answer
    x = 10,923.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.