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Finding the Fourth Proportional to 10,384.58, 15,574.70 and 2,989.56

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Solution

The fourth proportional to 10,384.58, 15,574.70 and 2,989.56 is: 4,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.58 : 15,574.70 = 2,989.56 : x
  2. Step 2: Convert to fraction form
    10,384.58/15,574.70 = 2,989.56/x
  3. Step 3: Cross multiply
    10,384.58x = 15,574.70 × 2,989.56
  4. Step 4: Simplify right side
    10,384.58x = 46,561,500.13
  5. Step 5: Solve for x
    x = 46,561,500.13/10,384.58
  6. Step 6: Final answer
    x = 4,483.72

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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.