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Finding the Fourth Proportional to 7,573.76, 10,451.70 and 4,216.58

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Solution

The fourth proportional to 7,573.76, 10,451.70 and 4,216.58 is: 5,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.76 : 10,451.70 = 4,216.58 : x
  2. Step 2: Convert to fraction form
    7,573.76/10,451.70 = 4,216.58/x
  3. Step 3: Cross multiply
    7,573.76x = 10,451.70 × 4,216.58
  4. Step 4: Simplify right side
    7,573.76x = 44,070,429.19
  5. Step 5: Solve for x
    x = 44,070,429.19/7,573.76
  6. Step 6: Final answer
    x = 5,818.83

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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.