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Finding the Fourth Proportional to 11,430.57, 15,763.92 and 7,182.03

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Solution

The fourth proportional to 11,430.57, 15,763.92 and 7,182.03 is: 9,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.57 : 15,763.92 = 7,182.03 : x
  2. Step 2: Convert to fraction form
    11,430.57/15,763.92 = 7,182.03/x
  3. Step 3: Cross multiply
    11,430.57x = 15,763.92 × 7,182.03
  4. Step 4: Simplify right side
    11,430.57x = 113,216,946.36
  5. Step 5: Solve for x
    x = 113,216,946.36/11,430.57
  6. Step 6: Final answer
    x = 9,904.75

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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.