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Finding the Fourth Proportional to 7,848.66, 11,763.54 and 3,461.16

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Solution

The fourth proportional to 7,848.66, 11,763.54 and 3,461.16 is: 5,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.66 : 11,763.54 = 3,461.16 : x
  2. Step 2: Convert to fraction form
    7,848.66/11,763.54 = 3,461.16/x
  3. Step 3: Cross multiply
    7,848.66x = 11,763.54 × 3,461.16
  4. Step 4: Simplify right side
    7,848.66x = 40,715,494.11
  5. Step 5: Solve for x
    x = 40,715,494.11/7,848.66
  6. Step 6: Final answer
    x = 5,187.57

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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.