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Finding the Fourth Proportional to 11,462.22, 15,809.67 and 10,521

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Solution

The fourth proportional to 11,462.22, 15,809.67 and 10,521 is: 14,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.22 : 15,809.67 = 10,521 : x
  2. Step 2: Convert to fraction form
    11,462.22/15,809.67 = 10,521/x
  3. Step 3: Cross multiply
    11,462.22x = 15,809.67 × 10,521
  4. Step 4: Simplify right side
    11,462.22x = 166,333,538.07
  5. Step 5: Solve for x
    x = 166,333,538.07/11,462.22
  6. Step 6: Final answer
    x = 14,511.46

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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.