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Finding the Fourth Proportional to 7,316, 10,096.08 and 4,004

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Solution

The fourth proportional to 7,316, 10,096.08 and 4,004 is: 5,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316 : 10,096.08 = 4,004 : x
  2. Step 2: Convert to fraction form
    7,316/10,096.08 = 4,004/x
  3. Step 3: Cross multiply
    7,316x = 10,096.08 × 4,004
  4. Step 4: Simplify right side
    7,316x = 40,424,704.32
  5. Step 5: Solve for x
    x = 40,424,704.32/7,316
  6. Step 6: Final answer
    x = 5,525.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.