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Finding the Fourth Proportional to 7,734.70, 10,673.93 and 4,547.82

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Solution

The fourth proportional to 7,734.70, 10,673.93 and 4,547.82 is: 6,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.70 : 10,673.93 = 4,547.82 : x
  2. Step 2: Convert to fraction form
    7,734.70/10,673.93 = 4,547.82/x
  3. Step 3: Cross multiply
    7,734.70x = 10,673.93 × 4,547.82
  4. Step 4: Simplify right side
    7,734.70x = 48,543,112.33
  5. Step 5: Solve for x
    x = 48,543,112.33/7,734.70
  6. Step 6: Final answer
    x = 6,276.02

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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.