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Finding the Fourth Proportional to 7,671.60, 10,586.57 and 4,314.56

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Solution

The fourth proportional to 7,671.60, 10,586.57 and 4,314.56 is: 5,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.60 : 10,586.57 = 4,314.56 : x
  2. Step 2: Convert to fraction form
    7,671.60/10,586.57 = 4,314.56/x
  3. Step 3: Cross multiply
    7,671.60x = 10,586.57 × 4,314.56
  4. Step 4: Simplify right side
    7,671.60x = 45,676,391.46
  5. Step 5: Solve for x
    x = 45,676,391.46/7,671.60
  6. Step 6: Final answer
    x = 5,953.96

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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.