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Finding the Fourth Proportional to 11,492.31, 15,856.59 and 7,014.43

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Solution

The fourth proportional to 11,492.31, 15,856.59 and 7,014.43 is: 9,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.31 : 15,856.59 = 7,014.43 : x
  2. Step 2: Convert to fraction form
    11,492.31/15,856.59 = 7,014.43/x
  3. Step 3: Cross multiply
    11,492.31x = 15,856.59 × 7,014.43
  4. Step 4: Simplify right side
    11,492.31x = 111,224,986.72
  5. Step 5: Solve for x
    x = 111,224,986.72/11,492.31
  6. Step 6: Final answer
    x = 9,678.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.