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Finding the Fourth Proportional to 11,973.96, 16,525.53 and 7,258.23

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Solution

The fourth proportional to 11,973.96, 16,525.53 and 7,258.23 is: 10,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.96 : 16,525.53 = 7,258.23 : x
  2. Step 2: Convert to fraction form
    11,973.96/16,525.53 = 7,258.23/x
  3. Step 3: Cross multiply
    11,973.96x = 16,525.53 × 7,258.23
  4. Step 4: Simplify right side
    11,973.96x = 119,946,097.61
  5. Step 5: Solve for x
    x = 119,946,097.61/11,973.96
  6. Step 6: Final answer
    x = 10,017.25

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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.