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Finding the Fourth Proportional to 10,504, 15,758.16 and 4,348

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Solution

The fourth proportional to 10,504, 15,758.16 and 4,348 is: 6,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504 : 15,758.16 = 4,348 : x
  2. Step 2: Convert to fraction form
    10,504/15,758.16 = 4,348/x
  3. Step 3: Cross multiply
    10,504x = 15,758.16 × 4,348
  4. Step 4: Simplify right side
    10,504x = 68,516,479.68
  5. Step 5: Solve for x
    x = 68,516,479.68/10,504
  6. Step 6: Final answer
    x = 6,522.89

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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.