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Finding the Fourth Proportional to 10,858.90, 14,984.85 and 6,144.16

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Solution

The fourth proportional to 10,858.90, 14,984.85 and 6,144.16 is: 8,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.90 : 14,984.85 = 6,144.16 : x
  2. Step 2: Convert to fraction form
    10,858.90/14,984.85 = 6,144.16/x
  3. Step 3: Cross multiply
    10,858.90x = 14,984.85 × 6,144.16
  4. Step 4: Simplify right side
    10,858.90x = 92,069,315.98
  5. Step 5: Solve for x
    x = 92,069,315.98/10,858.90
  6. Step 6: Final answer
    x = 8,478.70

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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.