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Finding the Fourth Proportional to 7,290.64, 10,065.36 and 4,640.32

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Solution

The fourth proportional to 7,290.64, 10,065.36 and 4,640.32 is: 6,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.64 : 10,065.36 = 4,640.32 : x
  2. Step 2: Convert to fraction form
    7,290.64/10,065.36 = 4,640.32/x
  3. Step 3: Cross multiply
    7,290.64x = 10,065.36 × 4,640.32
  4. Step 4: Simplify right side
    7,290.64x = 46,706,491.32
  5. Step 5: Solve for x
    x = 46,706,491.32/7,290.64
  6. Step 6: Final answer
    x = 6,406.36

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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.