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Finding the Fourth Proportional to 10,436.70, 15,657.48 and 3,416.67

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Solution

The fourth proportional to 10,436.70, 15,657.48 and 3,416.67 is: 5,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.70 : 15,657.48 = 3,416.67 : x
  2. Step 2: Convert to fraction form
    10,436.70/15,657.48 = 3,416.67/x
  3. Step 3: Cross multiply
    10,436.70x = 15,657.48 × 3,416.67
  4. Step 4: Simplify right side
    10,436.70x = 53,496,442.19
  5. Step 5: Solve for x
    x = 53,496,442.19/10,436.70
  6. Step 6: Final answer
    x = 5,125.80

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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.