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Finding the Fourth Proportional to 7,835.34, 10,813.08 and 4,478.70

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Solution

The fourth proportional to 7,835.34, 10,813.08 and 4,478.70 is: 6,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.34 : 10,813.08 = 4,478.70 : x
  2. Step 2: Convert to fraction form
    7,835.34/10,813.08 = 4,478.70/x
  3. Step 3: Cross multiply
    7,835.34x = 10,813.08 × 4,478.70
  4. Step 4: Simplify right side
    7,835.34x = 48,428,541.40
  5. Step 5: Solve for x
    x = 48,428,541.40/7,835.34
  6. Step 6: Final answer
    x = 6,180.78

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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.