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Finding the Fourth Proportional to 7,055.69, 10,586.25 and 4,284.36

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Solution

The fourth proportional to 7,055.69, 10,586.25 and 4,284.36 is: 6,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.69 : 10,586.25 = 4,284.36 : x
  2. Step 2: Convert to fraction form
    7,055.69/10,586.25 = 4,284.36/x
  3. Step 3: Cross multiply
    7,055.69x = 10,586.25 × 4,284.36
  4. Step 4: Simplify right side
    7,055.69x = 45,355,306.05
  5. Step 5: Solve for x
    x = 45,355,306.05/7,055.69
  6. Step 6: Final answer
    x = 6,428.19

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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.