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Finding the Fourth Proportional to 7,725.40, 10,661.34 and 4,539.16

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Solution

The fourth proportional to 7,725.40, 10,661.34 and 4,539.16 is: 6,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.40 : 10,661.34 = 4,539.16 : x
  2. Step 2: Convert to fraction form
    7,725.40/10,661.34 = 4,539.16/x
  3. Step 3: Cross multiply
    7,725.40x = 10,661.34 × 4,539.16
  4. Step 4: Simplify right side
    7,725.40x = 48,393,528.07
  5. Step 5: Solve for x
    x = 48,393,528.07/7,725.40
  6. Step 6: Final answer
    x = 6,264.21

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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.