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Finding the Fourth Proportional to 10,941.46, 15,098.94 and 6,225.46

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Solution

The fourth proportional to 10,941.46, 15,098.94 and 6,225.46 is: 8,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.46 : 15,098.94 = 6,225.46 : x
  2. Step 2: Convert to fraction form
    10,941.46/15,098.94 = 6,225.46/x
  3. Step 3: Cross multiply
    10,941.46x = 15,098.94 × 6,225.46
  4. Step 4: Simplify right side
    10,941.46x = 93,997,847.01
  5. Step 5: Solve for x
    x = 93,997,847.01/10,941.46
  6. Step 6: Final answer
    x = 8,590.98

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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.