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Finding the Fourth Proportional to 11,764.92, 16,232.50 and 7,045.80

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Solution

The fourth proportional to 11,764.92, 16,232.50 and 7,045.80 is: 9,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.92 : 16,232.50 = 7,045.80 : x
  2. Step 2: Convert to fraction form
    11,764.92/16,232.50 = 7,045.80/x
  3. Step 3: Cross multiply
    11,764.92x = 16,232.50 × 7,045.80
  4. Step 4: Simplify right side
    11,764.92x = 114,370,948.50
  5. Step 5: Solve for x
    x = 114,370,948.50/11,764.92
  6. Step 6: Final answer
    x = 9,721.35

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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.