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Finding the Fourth Proportional to 7,417.74, 10,217.28 and 5,175.60

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Solution

The fourth proportional to 7,417.74, 10,217.28 and 5,175.60 is: 7,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.74 : 10,217.28 = 5,175.60 : x
  2. Step 2: Convert to fraction form
    7,417.74/10,217.28 = 5,175.60/x
  3. Step 3: Cross multiply
    7,417.74x = 10,217.28 × 5,175.60
  4. Step 4: Simplify right side
    7,417.74x = 52,880,554.37
  5. Step 5: Solve for x
    x = 52,880,554.37/7,417.74
  6. Step 6: Final answer
    x = 7,128.93

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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.