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Finding the Fourth Proportional to 10,416.64, 15,618.80 and 4,084

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Solution

The fourth proportional to 10,416.64, 15,618.80 and 4,084 is: 6,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.64 : 15,618.80 = 4,084 : x
  2. Step 2: Convert to fraction form
    10,416.64/15,618.80 = 4,084/x
  3. Step 3: Cross multiply
    10,416.64x = 15,618.80 × 4,084
  4. Step 4: Simplify right side
    10,416.64x = 63,787,179.20
  5. Step 5: Solve for x
    x = 63,787,179.20/10,416.64
  6. Step 6: Final answer
    x = 6,123.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.