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Finding the Fourth Proportional to 11,862.24, 17,780.56 and 6,310

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Solution

The fourth proportional to 11,862.24, 17,780.56 and 6,310 is: 9,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.24 : 17,780.56 = 6,310 : x
  2. Step 2: Convert to fraction form
    11,862.24/17,780.56 = 6,310/x
  3. Step 3: Cross multiply
    11,862.24x = 17,780.56 × 6,310
  4. Step 4: Simplify right side
    11,862.24x = 112,195,333.60
  5. Step 5: Solve for x
    x = 112,195,333.60/11,862.24
  6. Step 6: Final answer
    x = 9,458.19

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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.