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Finding the Fourth Proportional to 10,533.41, 14,537.08 and 6,059.78

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Solution

The fourth proportional to 10,533.41, 14,537.08 and 6,059.78 is: 8,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.41 : 14,537.08 = 6,059.78 : x
  2. Step 2: Convert to fraction form
    10,533.41/14,537.08 = 6,059.78/x
  3. Step 3: Cross multiply
    10,533.41x = 14,537.08 × 6,059.78
  4. Step 4: Simplify right side
    10,533.41x = 88,091,506.64
  5. Step 5: Solve for x
    x = 88,091,506.64/10,533.41
  6. Step 6: Final answer
    x = 8,363.06

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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.