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Finding the Fourth Proportional to 7,585.48, 10,467.93 and 5,071.24

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Solution

The fourth proportional to 7,585.48, 10,467.93 and 5,071.24 is: 6,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.48 : 10,467.93 = 5,071.24 : x
  2. Step 2: Convert to fraction form
    7,585.48/10,467.93 = 5,071.24/x
  3. Step 3: Cross multiply
    7,585.48x = 10,467.93 × 5,071.24
  4. Step 4: Simplify right side
    7,585.48x = 53,085,385.33
  5. Step 5: Solve for x
    x = 53,085,385.33/7,585.48
  6. Step 6: Final answer
    x = 6,998.29

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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.