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Finding the Fourth Proportional to 11,758.63, 16,226.91 and 7,045.64

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Solution

The fourth proportional to 11,758.63, 16,226.91 and 7,045.64 is: 9,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.63 : 16,226.91 = 7,045.64 : x
  2. Step 2: Convert to fraction form
    11,758.63/16,226.91 = 7,045.64/x
  3. Step 3: Cross multiply
    11,758.63x = 16,226.91 × 7,045.64
  4. Step 4: Simplify right side
    11,758.63x = 114,328,966.17
  5. Step 5: Solve for x
    x = 114,328,966.17/11,758.63
  6. Step 6: Final answer
    x = 9,722.98

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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.