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Finding the Fourth Proportional to 7,105.34, 9,811.53 and 4,457.30

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Solution

The fourth proportional to 7,105.34, 9,811.53 and 4,457.30 is: 6,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.34 : 9,811.53 = 4,457.30 : x
  2. Step 2: Convert to fraction form
    7,105.34/9,811.53 = 4,457.30/x
  3. Step 3: Cross multiply
    7,105.34x = 9,811.53 × 4,457.30
  4. Step 4: Simplify right side
    7,105.34x = 43,732,932.67
  5. Step 5: Solve for x
    x = 43,732,932.67/7,105.34
  6. Step 6: Final answer
    x = 6,154.94

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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.