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Finding the Fourth Proportional to 7,511.82, 10,366.02 and 4,154.58

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Solution

The fourth proportional to 7,511.82, 10,366.02 and 4,154.58 is: 5,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.82 : 10,366.02 = 4,154.58 : x
  2. Step 2: Convert to fraction form
    7,511.82/10,366.02 = 4,154.58/x
  3. Step 3: Cross multiply
    7,511.82x = 10,366.02 × 4,154.58
  4. Step 4: Simplify right side
    7,511.82x = 43,066,459.37
  5. Step 5: Solve for x
    x = 43,066,459.37/7,511.82
  6. Step 6: Final answer
    x = 5,733.16

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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.