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Finding the Fourth Proportional to 10,317.44, 15,476.16 and 4,160

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Solution

The fourth proportional to 10,317.44, 15,476.16 and 4,160 is: 6,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.44 : 15,476.16 = 4,160 : x
  2. Step 2: Convert to fraction form
    10,317.44/15,476.16 = 4,160/x
  3. Step 3: Cross multiply
    10,317.44x = 15,476.16 × 4,160
  4. Step 4: Simplify right side
    10,317.44x = 64,380,825.60
  5. Step 5: Solve for x
    x = 64,380,825.60/10,317.44
  6. Step 6: Final answer
    x = 6,240

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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.