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Finding the Fourth Proportional to 11,534.59, 15,946.01 and 11,429.29

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Solution

The fourth proportional to 11,534.59, 15,946.01 and 11,429.29 is: 15,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.59 : 15,946.01 = 11,429.29 : x
  2. Step 2: Convert to fraction form
    11,534.59/15,946.01 = 11,429.29/x
  3. Step 3: Cross multiply
    11,534.59x = 15,946.01 × 11,429.29
  4. Step 4: Simplify right side
    11,534.59x = 182,251,572.63
  5. Step 5: Solve for x
    x = 182,251,572.63/11,534.59
  6. Step 6: Final answer
    x = 15,800.44

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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.