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Finding the Fourth Proportional to 7,814.87, 10,784.57 and 4,457.78

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Solution

The fourth proportional to 7,814.87, 10,784.57 and 4,457.78 is: 6,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.87 : 10,784.57 = 4,457.78 : x
  2. Step 2: Convert to fraction form
    7,814.87/10,784.57 = 4,457.78/x
  3. Step 3: Cross multiply
    7,814.87x = 10,784.57 × 4,457.78
  4. Step 4: Simplify right side
    7,814.87x = 48,075,164.24
  5. Step 5: Solve for x
    x = 48,075,164.24/7,814.87
  6. Step 6: Final answer
    x = 6,151.75

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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.