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Finding the Fourth Proportional to 10,375.64, 15,569.60 and 9,718.89

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Solution

The fourth proportional to 10,375.64, 15,569.60 and 9,718.89 is: 14,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.64 : 15,569.60 = 9,718.89 : x
  2. Step 2: Convert to fraction form
    10,375.64/15,569.60 = 9,718.89/x
  3. Step 3: Cross multiply
    10,375.64x = 15,569.60 × 9,718.89
  4. Step 4: Simplify right side
    10,375.64x = 151,319,181.15
  5. Step 5: Solve for x
    x = 151,319,181.15/10,375.64
  6. Step 6: Final answer
    x = 14,584.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.