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Finding the Fourth Proportional to 7,578.12, 10,457.76 and 4,220.76

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Solution

The fourth proportional to 7,578.12, 10,457.76 and 4,220.76 is: 5,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.12 : 10,457.76 = 4,220.76 : x
  2. Step 2: Convert to fraction form
    7,578.12/10,457.76 = 4,220.76/x
  3. Step 3: Cross multiply
    7,578.12x = 10,457.76 × 4,220.76
  4. Step 4: Simplify right side
    7,578.12x = 44,139,695.10
  5. Step 5: Solve for x
    x = 44,139,695.10/7,578.12
  6. Step 6: Final answer
    x = 5,824.62

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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.