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Finding the Fourth Proportional to 10,352.54, 14,284.53 and 6,576.32

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Solution

The fourth proportional to 10,352.54, 14,284.53 and 6,576.32 is: 9,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.54 : 14,284.53 = 6,576.32 : x
  2. Step 2: Convert to fraction form
    10,352.54/14,284.53 = 6,576.32/x
  3. Step 3: Cross multiply
    10,352.54x = 14,284.53 × 6,576.32
  4. Step 4: Simplify right side
    10,352.54x = 93,939,568.91
  5. Step 5: Solve for x
    x = 93,939,568.91/10,352.54
  6. Step 6: Final answer
    x = 9,074.06

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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.