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Finding the Fourth Proportional to 7,814.25, 10,780.50 and 4,980.87

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Solution

The fourth proportional to 7,814.25, 10,780.50 and 4,980.87 is: 6,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.25 : 10,780.50 = 4,980.87 : x
  2. Step 2: Convert to fraction form
    7,814.25/10,780.50 = 4,980.87/x
  3. Step 3: Cross multiply
    7,814.25x = 10,780.50 × 4,980.87
  4. Step 4: Simplify right side
    7,814.25x = 53,696,269.04
  5. Step 5: Solve for x
    x = 53,696,269.04/7,814.25
  6. Step 6: Final answer
    x = 6,871.58

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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.