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Finding the Fourth Proportional to 11,586.45, 15,995.23 and 7,341.92

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Solution

The fourth proportional to 11,586.45, 15,995.23 and 7,341.92 is: 10,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.45 : 15,995.23 = 7,341.92 : x
  2. Step 2: Convert to fraction form
    11,586.45/15,995.23 = 7,341.92/x
  3. Step 3: Cross multiply
    11,586.45x = 15,995.23 × 7,341.92
  4. Step 4: Simplify right side
    11,586.45x = 117,435,600.71
  5. Step 5: Solve for x
    x = 117,435,600.71/11,586.45
  6. Step 6: Final answer
    x = 10,135.60

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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.