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Finding the Fourth Proportional to 11,925.36, 16,457.06 and 7,451.70

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Solution

The fourth proportional to 11,925.36, 16,457.06 and 7,451.70 is: 10,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.36 : 16,457.06 = 7,451.70 : x
  2. Step 2: Convert to fraction form
    11,925.36/16,457.06 = 7,451.70/x
  3. Step 3: Cross multiply
    11,925.36x = 16,457.06 × 7,451.70
  4. Step 4: Simplify right side
    11,925.36x = 122,633,074.00
  5. Step 5: Solve for x
    x = 122,633,074.00/11,925.36
  6. Step 6: Final answer
    x = 10,283.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.