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Finding the Fourth Proportional to 7,702.41, 10,626.81 and 4,715.13

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Solution

The fourth proportional to 7,702.41, 10,626.81 and 4,715.13 is: 6,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.41 : 10,626.81 = 4,715.13 : x
  2. Step 2: Convert to fraction form
    7,702.41/10,626.81 = 4,715.13/x
  3. Step 3: Cross multiply
    7,702.41x = 10,626.81 × 4,715.13
  4. Step 4: Simplify right side
    7,702.41x = 50,106,790.64
  5. Step 5: Solve for x
    x = 50,106,790.64/7,702.41
  6. Step 6: Final answer
    x = 6,505.34

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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.