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Finding the Fourth Proportional to 10,804.73, 14,904.07 and 7,971.20

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Solution

The fourth proportional to 10,804.73, 14,904.07 and 7,971.20 is: 10,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.73 : 14,904.07 = 7,971.20 : x
  2. Step 2: Convert to fraction form
    10,804.73/14,904.07 = 7,971.20/x
  3. Step 3: Cross multiply
    10,804.73x = 14,904.07 × 7,971.20
  4. Step 4: Simplify right side
    10,804.73x = 118,803,322.78
  5. Step 5: Solve for x
    x = 118,803,322.78/10,804.73
  6. Step 6: Final answer
    x = 10,995.49

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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.