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Finding the Fourth Proportional to 8,026.10, 11,075.68 and 4,668.92

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Solution

The fourth proportional to 8,026.10, 11,075.68 and 4,668.92 is: 6,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.10 : 11,075.68 = 4,668.92 : x
  2. Step 2: Convert to fraction form
    8,026.10/11,075.68 = 4,668.92/x
  3. Step 3: Cross multiply
    8,026.10x = 11,075.68 × 4,668.92
  4. Step 4: Simplify right side
    8,026.10x = 51,711,463.87
  5. Step 5: Solve for x
    x = 51,711,463.87/8,026.10
  6. Step 6: Final answer
    x = 6,442.91

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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.