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Finding the Fourth Proportional to 11,713.63, 17,569.14 and 2,948.54

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Solution

The fourth proportional to 11,713.63, 17,569.14 and 2,948.54 is: 4,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.63 : 17,569.14 = 2,948.54 : x
  2. Step 2: Convert to fraction form
    11,713.63/17,569.14 = 2,948.54/x
  3. Step 3: Cross multiply
    11,713.63x = 17,569.14 × 2,948.54
  4. Step 4: Simplify right side
    11,713.63x = 51,803,312.06
  5. Step 5: Solve for x
    x = 51,803,312.06/11,713.63
  6. Step 6: Final answer
    x = 4,422.48

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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.