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Finding the Fourth Proportional to 7,465.71, 11,198.57 and 5,300.58

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Solution

The fourth proportional to 7,465.71, 11,198.57 and 5,300.58 is: 7,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.71 : 11,198.57 = 5,300.58 : x
  2. Step 2: Convert to fraction form
    7,465.71/11,198.57 = 5,300.58/x
  3. Step 3: Cross multiply
    7,465.71x = 11,198.57 × 5,300.58
  4. Step 4: Simplify right side
    7,465.71x = 59,358,889.67
  5. Step 5: Solve for x
    x = 59,358,889.67/7,465.71
  6. Step 6: Final answer
    x = 7,950.87

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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.