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Finding the Fourth Proportional to 10,511.01, 14,505.76 and 6,035.49

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Solution

The fourth proportional to 10,511.01, 14,505.76 and 6,035.49 is: 8,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.01 : 14,505.76 = 6,035.49 : x
  2. Step 2: Convert to fraction form
    10,511.01/14,505.76 = 6,035.49/x
  3. Step 3: Cross multiply
    10,511.01x = 14,505.76 × 6,035.49
  4. Step 4: Simplify right side
    10,511.01x = 87,549,281.80
  5. Step 5: Solve for x
    x = 87,549,281.80/10,511.01
  6. Step 6: Final answer
    x = 8,329.30

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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.