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Finding the Fourth Proportional to 7,888.14, 11,840.40 and 5,810.48

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Solution

The fourth proportional to 7,888.14, 11,840.40 and 5,810.48 is: 8,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.14 : 11,840.40 = 5,810.48 : x
  2. Step 2: Convert to fraction form
    7,888.14/11,840.40 = 5,810.48/x
  3. Step 3: Cross multiply
    7,888.14x = 11,840.40 × 5,810.48
  4. Step 4: Simplify right side
    7,888.14x = 68,798,407.39
  5. Step 5: Solve for x
    x = 68,798,407.39/7,888.14
  6. Step 6: Final answer
    x = 8,721.75

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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.