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Finding the Fourth Proportional to 6,875.69, 10,313.52 and 1,681.57

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Solution

The fourth proportional to 6,875.69, 10,313.52 and 1,681.57 is: 2,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.69 : 10,313.52 = 1,681.57 : x
  2. Step 2: Convert to fraction form
    6,875.69/10,313.52 = 1,681.57/x
  3. Step 3: Cross multiply
    6,875.69x = 10,313.52 × 1,681.57
  4. Step 4: Simplify right side
    6,875.69x = 17,342,845.85
  5. Step 5: Solve for x
    x = 17,342,845.85/6,875.69
  6. Step 6: Final answer
    x = 2,522.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.