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Finding the Fourth Proportional to 7,416, 10,237.82 and 5,733.60

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Solution

The fourth proportional to 7,416, 10,237.82 and 5,733.60 is: 7,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 10,237.82 = 5,733.60 : x
  2. Step 2: Convert to fraction form
    7,416/10,237.82 = 5,733.60/x
  3. Step 3: Cross multiply
    7,416x = 10,237.82 × 5,733.60
  4. Step 4: Simplify right side
    7,416x = 58,699,536.08
  5. Step 5: Solve for x
    x = 58,699,536.08/7,416
  6. Step 6: Final answer
    x = 7,915.26

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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.