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Finding the Fourth Proportional to 10,014.54, 15,089.40 and 8,297.74

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Solution

The fourth proportional to 10,014.54, 15,089.40 and 8,297.74 is: 12,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.54 : 15,089.40 = 8,297.74 : x
  2. Step 2: Convert to fraction form
    10,014.54/15,089.40 = 8,297.74/x
  3. Step 3: Cross multiply
    10,014.54x = 15,089.40 × 8,297.74
  4. Step 4: Simplify right side
    10,014.54x = 125,207,913.48
  5. Step 5: Solve for x
    x = 125,207,913.48/10,014.54
  6. Step 6: Final answer
    x = 12,502.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.