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Finding the Fourth Proportional to 7,182, 9,907.80 and 5,087.28

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Solution

The fourth proportional to 7,182, 9,907.80 and 5,087.28 is: 7,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182 : 9,907.80 = 5,087.28 : x
  2. Step 2: Convert to fraction form
    7,182/9,907.80 = 5,087.28/x
  3. Step 3: Cross multiply
    7,182x = 9,907.80 × 5,087.28
  4. Step 4: Simplify right side
    7,182x = 50,403,752.78
  5. Step 5: Solve for x
    x = 50,403,752.78/7,182
  6. Step 6: Final answer
    x = 7,018.07

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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.