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Finding the Fourth Proportional to 7,466.68, 10,307.20 and 5,314.62

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Solution

The fourth proportional to 7,466.68, 10,307.20 and 5,314.62 is: 7,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.68 : 10,307.20 = 5,314.62 : x
  2. Step 2: Convert to fraction form
    7,466.68/10,307.20 = 5,314.62/x
  3. Step 3: Cross multiply
    7,466.68x = 10,307.20 × 5,314.62
  4. Step 4: Simplify right side
    7,466.68x = 54,778,851.26
  5. Step 5: Solve for x
    x = 54,778,851.26/7,466.68
  6. Step 6: Final answer
    x = 7,336.44

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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.