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Finding the Fourth Proportional to 10,795.73, 14,904.56 and 7,808.45

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Solution

The fourth proportional to 10,795.73, 14,904.56 and 7,808.45 is: 10,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.73 : 14,904.56 = 7,808.45 : x
  2. Step 2: Convert to fraction form
    10,795.73/14,904.56 = 7,808.45/x
  3. Step 3: Cross multiply
    10,795.73x = 14,904.56 × 7,808.45
  4. Step 4: Simplify right side
    10,795.73x = 116,381,511.53
  5. Step 5: Solve for x
    x = 116,381,511.53/10,795.73
  6. Step 6: Final answer
    x = 10,780.33

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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.