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Finding the Fourth Proportional to 11,223.34, 15,484.77 and 6,506.68

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Solution

The fourth proportional to 11,223.34, 15,484.77 and 6,506.68 is: 8,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.34 : 15,484.77 = 6,506.68 : x
  2. Step 2: Convert to fraction form
    11,223.34/15,484.77 = 6,506.68/x
  3. Step 3: Cross multiply
    11,223.34x = 15,484.77 × 6,506.68
  4. Step 4: Simplify right side
    11,223.34x = 100,754,428.95
  5. Step 5: Solve for x
    x = 100,754,428.95/11,223.34
  6. Step 6: Final answer
    x = 8,977.23

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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.