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Finding the Fourth Proportional to 10,059.69, 15,088.32 and 6,358.80

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Solution

The fourth proportional to 10,059.69, 15,088.32 and 6,358.80 is: 9,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.69 : 15,088.32 = 6,358.80 : x
  2. Step 2: Convert to fraction form
    10,059.69/15,088.32 = 6,358.80/x
  3. Step 3: Cross multiply
    10,059.69x = 15,088.32 × 6,358.80
  4. Step 4: Simplify right side
    10,059.69x = 95,943,609.22
  5. Step 5: Solve for x
    x = 95,943,609.22/10,059.69
  6. Step 6: Final answer
    x = 9,537.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.