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Finding the Fourth Proportional to 7,113.19, 10,670.80 and 3,780.57

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Solution

The fourth proportional to 7,113.19, 10,670.80 and 3,780.57 is: 5,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.19 : 10,670.80 = 3,780.57 : x
  2. Step 2: Convert to fraction form
    7,113.19/10,670.80 = 3,780.57/x
  3. Step 3: Cross multiply
    7,113.19x = 10,670.80 × 3,780.57
  4. Step 4: Simplify right side
    7,113.19x = 40,341,687.45
  5. Step 5: Solve for x
    x = 40,341,687.45/7,113.19
  6. Step 6: Final answer
    x = 5,671.39

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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.