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Finding the Fourth Proportional to 7,645.80, 11,457.90 and 4,715.40

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Solution

The fourth proportional to 7,645.80, 11,457.90 and 4,715.40 is: 7,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.80 : 11,457.90 = 4,715.40 : x
  2. Step 2: Convert to fraction form
    7,645.80/11,457.90 = 4,715.40/x
  3. Step 3: Cross multiply
    7,645.80x = 11,457.90 × 4,715.40
  4. Step 4: Simplify right side
    7,645.80x = 54,028,581.66
  5. Step 5: Solve for x
    x = 54,028,581.66/7,645.80
  6. Step 6: Final answer
    x = 7,066.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.