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Finding the Fourth Proportional to 10,345.64, 15,522.66 and 5,659.97

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Solution

The fourth proportional to 10,345.64, 15,522.66 and 5,659.97 is: 8,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.64 : 15,522.66 = 5,659.97 : x
  2. Step 2: Convert to fraction form
    10,345.64/15,522.66 = 5,659.97/x
  3. Step 3: Cross multiply
    10,345.64x = 15,522.66 × 5,659.97
  4. Step 4: Simplify right side
    10,345.64x = 87,857,712.31
  5. Step 5: Solve for x
    x = 87,857,712.31/10,345.64
  6. Step 6: Final answer
    x = 8,492.25

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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.