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Finding the Fourth Proportional to 7,670.10, 10,583.97 and 4,312.38

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Solution

The fourth proportional to 7,670.10, 10,583.97 and 4,312.38 is: 5,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.10 : 10,583.97 = 4,312.38 : x
  2. Step 2: Convert to fraction form
    7,670.10/10,583.97 = 4,312.38/x
  3. Step 3: Cross multiply
    7,670.10x = 10,583.97 × 4,312.38
  4. Step 4: Simplify right side
    7,670.10x = 45,642,100.55
  5. Step 5: Solve for x
    x = 45,642,100.55/7,670.10
  6. Step 6: Final answer
    x = 5,950.65

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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.