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Finding the Fourth Proportional to 7,845.86, 11,756.64 and 4,560.50

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Solution

The fourth proportional to 7,845.86, 11,756.64 and 4,560.50 is: 6,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.86 : 11,756.64 = 4,560.50 : x
  2. Step 2: Convert to fraction form
    7,845.86/11,756.64 = 4,560.50/x
  3. Step 3: Cross multiply
    7,845.86x = 11,756.64 × 4,560.50
  4. Step 4: Simplify right side
    7,845.86x = 53,616,156.72
  5. Step 5: Solve for x
    x = 53,616,156.72/7,845.86
  6. Step 6: Final answer
    x = 6,833.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.