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Finding the Fourth Proportional to 11,506.56, 15,873.12 and 7,310.40

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Solution

The fourth proportional to 11,506.56, 15,873.12 and 7,310.40 is: 10,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.56 : 15,873.12 = 7,310.40 : x
  2. Step 2: Convert to fraction form
    11,506.56/15,873.12 = 7,310.40/x
  3. Step 3: Cross multiply
    11,506.56x = 15,873.12 × 7,310.40
  4. Step 4: Simplify right side
    11,506.56x = 116,038,856.45
  5. Step 5: Solve for x
    x = 116,038,856.45/11,506.56
  6. Step 6: Final answer
    x = 10,084.58

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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.