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Finding the Fourth Proportional to 7,578.94, 10,460.55 and 5,093.50

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Solution

The fourth proportional to 7,578.94, 10,460.55 and 5,093.50 is: 7,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.94 : 10,460.55 = 5,093.50 : x
  2. Step 2: Convert to fraction form
    7,578.94/10,460.55 = 5,093.50/x
  3. Step 3: Cross multiply
    7,578.94x = 10,460.55 × 5,093.50
  4. Step 4: Simplify right side
    7,578.94x = 53,280,811.43
  5. Step 5: Solve for x
    x = 53,280,811.43/7,578.94
  6. Step 6: Final answer
    x = 7,030.11

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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.