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Finding the Fourth Proportional to 7,607.25, 10,498.14 and 4,463.37

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Solution

The fourth proportional to 7,607.25, 10,498.14 and 4,463.37 is: 6,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.25 : 10,498.14 = 4,463.37 : x
  2. Step 2: Convert to fraction form
    7,607.25/10,498.14 = 4,463.37/x
  3. Step 3: Cross multiply
    7,607.25x = 10,498.14 × 4,463.37
  4. Step 4: Simplify right side
    7,607.25x = 46,857,083.13
  5. Step 5: Solve for x
    x = 46,857,083.13/7,607.25
  6. Step 6: Final answer
    x = 6,159.53

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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.