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Finding the Fourth Proportional to 7,384.34, 10,195.19 and 5,702.78

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Solution

The fourth proportional to 7,384.34, 10,195.19 and 5,702.78 is: 7,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.34 : 10,195.19 = 5,702.78 : x
  2. Step 2: Convert to fraction form
    7,384.34/10,195.19 = 5,702.78/x
  3. Step 3: Cross multiply
    7,384.34x = 10,195.19 × 5,702.78
  4. Step 4: Simplify right side
    7,384.34x = 58,140,925.63
  5. Step 5: Solve for x
    x = 58,140,925.63/7,384.34
  6. Step 6: Final answer
    x = 7,873.54

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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.