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Finding the Fourth Proportional to 10,008.44, 15,014.80 and 2,989

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Solution

The fourth proportional to 10,008.44, 15,014.80 and 2,989 is: 4,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.44 : 15,014.80 = 2,989 : x
  2. Step 2: Convert to fraction form
    10,008.44/15,014.80 = 2,989/x
  3. Step 3: Cross multiply
    10,008.44x = 15,014.80 × 2,989
  4. Step 4: Simplify right side
    10,008.44x = 44,879,222.26
  5. Step 5: Solve for x
    x = 44,879,222.26/10,008.44
  6. Step 6: Final answer
    x = 4,484.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.