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Finding the Fourth Proportional to 7,586.45, 10,470.56 and 5,602.74

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Solution

The fourth proportional to 7,586.45, 10,470.56 and 5,602.74 is: 7,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.45 : 10,470.56 = 5,602.74 : x
  2. Step 2: Convert to fraction form
    7,586.45/10,470.56 = 5,602.74/x
  3. Step 3: Cross multiply
    7,586.45x = 10,470.56 × 5,602.74
  4. Step 4: Simplify right side
    7,586.45x = 58,663,825.33
  5. Step 5: Solve for x
    x = 58,663,825.33/7,586.45
  6. Step 6: Final answer
    x = 7,732.71

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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.