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Finding the Fourth Proportional to 7,140.45, 10,689.06 and 6,482.33

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Solution

The fourth proportional to 7,140.45, 10,689.06 and 6,482.33 is: 9,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.45 : 10,689.06 = 6,482.33 : x
  2. Step 2: Convert to fraction form
    7,140.45/10,689.06 = 6,482.33/x
  3. Step 3: Cross multiply
    7,140.45x = 10,689.06 × 6,482.33
  4. Step 4: Simplify right side
    7,140.45x = 69,290,025.26
  5. Step 5: Solve for x
    x = 69,290,025.26/7,140.45
  6. Step 6: Final answer
    x = 9,703.87

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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.