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Finding the Fourth Proportional to 10,054.12, 15,092.21 and 7,987.40

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Solution

The fourth proportional to 10,054.12, 15,092.21 and 7,987.40 is: 11,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.12 : 15,092.21 = 7,987.40 : x
  2. Step 2: Convert to fraction form
    10,054.12/15,092.21 = 7,987.40/x
  3. Step 3: Cross multiply
    10,054.12x = 15,092.21 × 7,987.40
  4. Step 4: Simplify right side
    10,054.12x = 120,547,478.22
  5. Step 5: Solve for x
    x = 120,547,478.22/10,054.12
  6. Step 6: Final answer
    x = 11,989.86

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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.