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Finding the Fourth Proportional to 7,116.70, 9,819 and 4,600.29

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Solution

The fourth proportional to 7,116.70, 9,819 and 4,600.29 is: 6,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.70 : 9,819 = 4,600.29 : x
  2. Step 2: Convert to fraction form
    7,116.70/9,819 = 4,600.29/x
  3. Step 3: Cross multiply
    7,116.70x = 9,819 × 4,600.29
  4. Step 4: Simplify right side
    7,116.70x = 45,170,247.51
  5. Step 5: Solve for x
    x = 45,170,247.51/7,116.70
  6. Step 6: Final answer
    x = 6,347.08

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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.