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Finding the Fourth Proportional to 7,780.70, 11,675.93 and 4,085.57

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Solution

The fourth proportional to 7,780.70, 11,675.93 and 4,085.57 is: 6,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.70 : 11,675.93 = 4,085.57 : x
  2. Step 2: Convert to fraction form
    7,780.70/11,675.93 = 4,085.57/x
  3. Step 3: Cross multiply
    7,780.70x = 11,675.93 × 4,085.57
  4. Step 4: Simplify right side
    7,780.70x = 47,702,750.52
  5. Step 5: Solve for x
    x = 47,702,750.52/7,780.70
  6. Step 6: Final answer
    x = 6,130.91

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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.