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Finding the Fourth Proportional to 10,456.96, 14,415.36 and 7,467.52

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Solution

The fourth proportional to 10,456.96, 14,415.36 and 7,467.52 is: 10,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.96 : 14,415.36 = 7,467.52 : x
  2. Step 2: Convert to fraction form
    10,456.96/14,415.36 = 7,467.52/x
  3. Step 3: Cross multiply
    10,456.96x = 14,415.36 × 7,467.52
  4. Step 4: Simplify right side
    10,456.96x = 107,646,989.11
  5. Step 5: Solve for x
    x = 107,646,989.11/10,456.96
  6. Step 6: Final answer
    x = 10,294.29

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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.