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Finding the Fourth Proportional to 7,678.76, 10,596.90 and 4,366.76

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Solution

The fourth proportional to 7,678.76, 10,596.90 and 4,366.76 is: 6,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.76 : 10,596.90 = 4,366.76 : x
  2. Step 2: Convert to fraction form
    7,678.76/10,596.90 = 4,366.76/x
  3. Step 3: Cross multiply
    7,678.76x = 10,596.90 × 4,366.76
  4. Step 4: Simplify right side
    7,678.76x = 46,274,119.04
  5. Step 5: Solve for x
    x = 46,274,119.04/7,678.76
  6. Step 6: Final answer
    x = 6,026.25

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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.