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Finding the Fourth Proportional to 7,232.06, 10,862.67 and 4,316.06

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Solution

The fourth proportional to 7,232.06, 10,862.67 and 4,316.06 is: 6,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.06 : 10,862.67 = 4,316.06 : x
  2. Step 2: Convert to fraction form
    7,232.06/10,862.67 = 4,316.06/x
  3. Step 3: Cross multiply
    7,232.06x = 10,862.67 × 4,316.06
  4. Step 4: Simplify right side
    7,232.06x = 46,883,935.48
  5. Step 5: Solve for x
    x = 46,883,935.48/7,232.06
  6. Step 6: Final answer
    x = 6,482.79

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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.