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Finding the Fourth Proportional to 7,262.64, 10,894.32 and 4,359.60

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Solution

The fourth proportional to 7,262.64, 10,894.32 and 4,359.60 is: 6,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.64 : 10,894.32 = 4,359.60 : x
  2. Step 2: Convert to fraction form
    7,262.64/10,894.32 = 4,359.60/x
  3. Step 3: Cross multiply
    7,262.64x = 10,894.32 × 4,359.60
  4. Step 4: Simplify right side
    7,262.64x = 47,494,877.47
  5. Step 5: Solve for x
    x = 47,494,877.47/7,262.64
  6. Step 6: Final answer
    x = 6,539.62

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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.