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Finding the Fourth Proportional to 7,632.36, 11,426.94 and 4,852.13

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Solution

The fourth proportional to 7,632.36, 11,426.94 and 4,852.13 is: 7,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.36 : 11,426.94 = 4,852.13 : x
  2. Step 2: Convert to fraction form
    7,632.36/11,426.94 = 4,852.13/x
  3. Step 3: Cross multiply
    7,632.36x = 11,426.94 × 4,852.13
  4. Step 4: Simplify right side
    7,632.36x = 55,444,941.25
  5. Step 5: Solve for x
    x = 55,444,941.25/7,632.36
  6. Step 6: Final answer
    x = 7,264.46

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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.