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Finding the Fourth Proportional to 11,462.45, 15,821.55 and 7,484.18

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Solution

The fourth proportional to 11,462.45, 15,821.55 and 7,484.18 is: 10,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.45 : 15,821.55 = 7,484.18 : x
  2. Step 2: Convert to fraction form
    11,462.45/15,821.55 = 7,484.18/x
  3. Step 3: Cross multiply
    11,462.45x = 15,821.55 × 7,484.18
  4. Step 4: Simplify right side
    11,462.45x = 118,411,248.97
  5. Step 5: Solve for x
    x = 118,411,248.97/11,462.45
  6. Step 6: Final answer
    x = 10,330.37

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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.