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Finding the Fourth Proportional to 7,577.76, 10,457.02 and 4,220.50

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Solution

The fourth proportional to 7,577.76, 10,457.02 and 4,220.50 is: 5,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.76 : 10,457.02 = 4,220.50 : x
  2. Step 2: Convert to fraction form
    7,577.76/10,457.02 = 4,220.50/x
  3. Step 3: Cross multiply
    7,577.76x = 10,457.02 × 4,220.50
  4. Step 4: Simplify right side
    7,577.76x = 44,133,826.27
  5. Step 5: Solve for x
    x = 44,133,826.27/7,577.76
  6. Step 6: Final answer
    x = 5,824.13

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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.