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Finding the Fourth Proportional to 10,256.85, 14,154.63 and 6,010.41

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Solution

The fourth proportional to 10,256.85, 14,154.63 and 6,010.41 is: 8,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.85 : 14,154.63 = 6,010.41 : x
  2. Step 2: Convert to fraction form
    10,256.85/14,154.63 = 6,010.41/x
  3. Step 3: Cross multiply
    10,256.85x = 14,154.63 × 6,010.41
  4. Step 4: Simplify right side
    10,256.85x = 85,075,129.70
  5. Step 5: Solve for x
    x = 85,075,129.70/10,256.85
  6. Step 6: Final answer
    x = 8,294.47

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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.