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Finding the Fourth Proportional to 7,814.52, 10,783.53 and 4,457.34

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Solution

The fourth proportional to 7,814.52, 10,783.53 and 4,457.34 is: 6,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.52 : 10,783.53 = 4,457.34 : x
  2. Step 2: Convert to fraction form
    7,814.52/10,783.53 = 4,457.34/x
  3. Step 3: Cross multiply
    7,814.52x = 10,783.53 × 4,457.34
  4. Step 4: Simplify right side
    7,814.52x = 48,065,859.61
  5. Step 5: Solve for x
    x = 48,065,859.61/7,814.52
  6. Step 6: Final answer
    x = 6,150.84

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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.