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Finding the Fourth Proportional to 7,577.94, 10,456.92 and 4,220.50

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Solution

The fourth proportional to 7,577.94, 10,456.92 and 4,220.50 is: 5,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.94 : 10,456.92 = 4,220.50 : x
  2. Step 2: Convert to fraction form
    7,577.94/10,456.92 = 4,220.50/x
  3. Step 3: Cross multiply
    7,577.94x = 10,456.92 × 4,220.50
  4. Step 4: Simplify right side
    7,577.94x = 44,133,430.86
  5. Step 5: Solve for x
    x = 44,133,430.86/7,577.94
  6. Step 6: Final answer
    x = 5,823.94

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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.