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Finding the Fourth Proportional to 7,577.50, 10,457.76 and 4,436.32

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Solution

The fourth proportional to 7,577.50, 10,457.76 and 4,436.32 is: 6,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.50 : 10,457.76 = 4,436.32 : x
  2. Step 2: Convert to fraction form
    7,577.50/10,457.76 = 4,436.32/x
  3. Step 3: Cross multiply
    7,577.50x = 10,457.76 × 4,436.32
  4. Step 4: Simplify right side
    7,577.50x = 46,393,969.84
  5. Step 5: Solve for x
    x = 46,393,969.84/7,577.50
  6. Step 6: Final answer
    x = 6,122.60

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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.