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Finding the Fourth Proportional to 7,762.06, 10,711.49 and 4,312.52

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Solution

The fourth proportional to 7,762.06, 10,711.49 and 4,312.52 is: 5,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.06 : 10,711.49 = 4,312.52 : x
  2. Step 2: Convert to fraction form
    7,762.06/10,711.49 = 4,312.52/x
  3. Step 3: Cross multiply
    7,762.06x = 10,711.49 × 4,312.52
  4. Step 4: Simplify right side
    7,762.06x = 46,193,514.85
  5. Step 5: Solve for x
    x = 46,193,514.85/7,762.06
  6. Step 6: Final answer
    x = 5,951.19

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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.