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Finding the Fourth Proportional to 10,518.54, 15,780.03 and 3,123.51

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Solution

The fourth proportional to 10,518.54, 15,780.03 and 3,123.51 is: 4,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.54 : 15,780.03 = 3,123.51 : x
  2. Step 2: Convert to fraction form
    10,518.54/15,780.03 = 3,123.51/x
  3. Step 3: Cross multiply
    10,518.54x = 15,780.03 × 3,123.51
  4. Step 4: Simplify right side
    10,518.54x = 49,289,081.51
  5. Step 5: Solve for x
    x = 49,289,081.51/10,518.54
  6. Step 6: Final answer
    x = 4,685.92

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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.