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Finding the Fourth Proportional to 7,848.86, 11,780.04 and 4,557.38

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Solution

The fourth proportional to 7,848.86, 11,780.04 and 4,557.38 is: 6,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.86 : 11,780.04 = 4,557.38 : x
  2. Step 2: Convert to fraction form
    7,848.86/11,780.04 = 4,557.38/x
  3. Step 3: Cross multiply
    7,848.86x = 11,780.04 × 4,557.38
  4. Step 4: Simplify right side
    7,848.86x = 53,686,118.70
  5. Step 5: Solve for x
    x = 53,686,118.70/7,848.86
  6. Step 6: Final answer
    x = 6,839.99

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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.