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Finding the Fourth Proportional to 11,429.65, 15,778.65 and 10,819.18

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Solution

The fourth proportional to 11,429.65, 15,778.65 and 10,819.18 is: 14,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.65 : 15,778.65 = 10,819.18 : x
  2. Step 2: Convert to fraction form
    11,429.65/15,778.65 = 10,819.18/x
  3. Step 3: Cross multiply
    11,429.65x = 15,778.65 × 10,819.18
  4. Step 4: Simplify right side
    11,429.65x = 170,712,054.51
  5. Step 5: Solve for x
    x = 170,712,054.51/11,429.65
  6. Step 6: Final answer
    x = 14,935.90

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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.