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Finding the Fourth Proportional to 7,670.25, 10,585.23 and 4,687.41

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Solution

The fourth proportional to 7,670.25, 10,585.23 and 4,687.41 is: 6,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.25 : 10,585.23 = 4,687.41 : x
  2. Step 2: Convert to fraction form
    7,670.25/10,585.23 = 4,687.41/x
  3. Step 3: Cross multiply
    7,670.25x = 10,585.23 × 4,687.41
  4. Step 4: Simplify right side
    7,670.25x = 49,617,312.95
  5. Step 5: Solve for x
    x = 49,617,312.95/7,670.25
  6. Step 6: Final answer
    x = 6,468.80

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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.