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Finding the Fourth Proportional to 7,810.40, 11,713.86 and 2,262.52

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Solution

The fourth proportional to 7,810.40, 11,713.86 and 2,262.52 is: 3,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.40 : 11,713.86 = 2,262.52 : x
  2. Step 2: Convert to fraction form
    7,810.40/11,713.86 = 2,262.52/x
  3. Step 3: Cross multiply
    7,810.40x = 11,713.86 × 2,262.52
  4. Step 4: Simplify right side
    7,810.40x = 26,502,842.53
  5. Step 5: Solve for x
    x = 26,502,842.53/7,810.40
  6. Step 6: Final answer
    x = 3,393.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.