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Finding the Fourth Proportional to 7,780.94, 10,738.59 and 4,331.87

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Solution

The fourth proportional to 7,780.94, 10,738.59 and 4,331.87 is: 5,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.94 : 10,738.59 = 4,331.87 : x
  2. Step 2: Convert to fraction form
    7,780.94/10,738.59 = 4,331.87/x
  3. Step 3: Cross multiply
    7,780.94x = 10,738.59 × 4,331.87
  4. Step 4: Simplify right side
    7,780.94x = 46,518,122.17
  5. Step 5: Solve for x
    x = 46,518,122.17/7,780.94
  6. Step 6: Final answer
    x = 5,978.47

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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.