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Finding the Fourth Proportional to 10,358, 15,537.12 and 2,566.88

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Solution

The fourth proportional to 10,358, 15,537.12 and 2,566.88 is: 3,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358 : 15,537.12 = 2,566.88 : x
  2. Step 2: Convert to fraction form
    10,358/15,537.12 = 2,566.88/x
  3. Step 3: Cross multiply
    10,358x = 15,537.12 × 2,566.88
  4. Step 4: Simplify right side
    10,358x = 39,881,922.59
  5. Step 5: Solve for x
    x = 39,881,922.59/10,358
  6. Step 6: Final answer
    x = 3,850.35

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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.