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Finding the Fourth Proportional to 7,605.44, 10,495.68 and 4,461.92

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Solution

The fourth proportional to 7,605.44, 10,495.68 and 4,461.92 is: 6,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.44 : 10,495.68 = 4,461.92 : x
  2. Step 2: Convert to fraction form
    7,605.44/10,495.68 = 4,461.92/x
  3. Step 3: Cross multiply
    7,605.44x = 10,495.68 × 4,461.92
  4. Step 4: Simplify right side
    7,605.44x = 46,830,884.51
  5. Step 5: Solve for x
    x = 46,830,884.51/7,605.44
  6. Step 6: Final answer
    x = 6,157.55

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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.