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Finding the Fourth Proportional to 10,226.46, 15,341.94 and 6,070.26

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Solution

The fourth proportional to 10,226.46, 15,341.94 and 6,070.26 is: 9,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.46 : 15,341.94 = 6,070.26 : x
  2. Step 2: Convert to fraction form
    10,226.46/15,341.94 = 6,070.26/x
  3. Step 3: Cross multiply
    10,226.46x = 15,341.94 × 6,070.26
  4. Step 4: Simplify right side
    10,226.46x = 93,129,564.70
  5. Step 5: Solve for x
    x = 93,129,564.70/10,226.46
  6. Step 6: Final answer
    x = 9,106.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.