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Finding the Fourth Proportional to 11,429.98, 15,776.30 and 6,956.87

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Solution

The fourth proportional to 11,429.98, 15,776.30 and 6,956.87 is: 9,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.98 : 15,776.30 = 6,956.87 : x
  2. Step 2: Convert to fraction form
    11,429.98/15,776.30 = 6,956.87/x
  3. Step 3: Cross multiply
    11,429.98x = 15,776.30 × 6,956.87
  4. Step 4: Simplify right side
    11,429.98x = 109,753,668.18
  5. Step 5: Solve for x
    x = 109,753,668.18/11,429.98
  6. Step 6: Final answer
    x = 9,602.26

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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.