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Finding the Fourth Proportional to 10,416.70, 14,390.67 and 6,840.10

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Solution

The fourth proportional to 10,416.70, 14,390.67 and 6,840.10 is: 9,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.70 : 14,390.67 = 6,840.10 : x
  2. Step 2: Convert to fraction form
    10,416.70/14,390.67 = 6,840.10/x
  3. Step 3: Cross multiply
    10,416.70x = 14,390.67 × 6,840.10
  4. Step 4: Simplify right side
    10,416.70x = 98,433,621.87
  5. Step 5: Solve for x
    x = 98,433,621.87/10,416.70
  6. Step 6: Final answer
    x = 9,449.60

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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.