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Finding the Fourth Proportional to 7,725.58, 10,657.37 and 4,888.17

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Solution

The fourth proportional to 7,725.58, 10,657.37 and 4,888.17 is: 6,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.58 : 10,657.37 = 4,888.17 : x
  2. Step 2: Convert to fraction form
    7,725.58/10,657.37 = 4,888.17/x
  3. Step 3: Cross multiply
    7,725.58x = 10,657.37 × 4,888.17
  4. Step 4: Simplify right side
    7,725.58x = 52,095,048.53
  5. Step 5: Solve for x
    x = 52,095,048.53/7,725.58
  6. Step 6: Final answer
    x = 6,743.19

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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.