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Finding the Fourth Proportional to 10,531, 14,532.08 and 5,815.24

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Solution

The fourth proportional to 10,531, 14,532.08 and 5,815.24 is: 8,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531 : 14,532.08 = 5,815.24 : x
  2. Step 2: Convert to fraction form
    10,531/14,532.08 = 5,815.24/x
  3. Step 3: Cross multiply
    10,531x = 14,532.08 × 5,815.24
  4. Step 4: Simplify right side
    10,531x = 84,507,532.90
  5. Step 5: Solve for x
    x = 84,507,532.90/10,531
  6. Step 6: Final answer
    x = 8,024.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.