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Finding the Fourth Proportional to 7,386.82, 10,195.90 and 4,364.74

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Solution

The fourth proportional to 7,386.82, 10,195.90 and 4,364.74 is: 6,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.82 : 10,195.90 = 4,364.74 : x
  2. Step 2: Convert to fraction form
    7,386.82/10,195.90 = 4,364.74/x
  3. Step 3: Cross multiply
    7,386.82x = 10,195.90 × 4,364.74
  4. Step 4: Simplify right side
    7,386.82x = 44,502,452.57
  5. Step 5: Solve for x
    x = 44,502,452.57/7,386.82
  6. Step 6: Final answer
    x = 6,024.58

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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.