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Finding the Fourth Proportional to 12,900.57, 17,805.72 and 7,597.10

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Solution

The fourth proportional to 12,900.57, 17,805.72 and 7,597.10 is: 10,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.57 : 17,805.72 = 7,597.10 : x
  2. Step 2: Convert to fraction form
    12,900.57/17,805.72 = 7,597.10/x
  3. Step 3: Cross multiply
    12,900.57x = 17,805.72 × 7,597.10
  4. Step 4: Simplify right side
    12,900.57x = 135,271,746.38
  5. Step 5: Solve for x
    x = 135,271,746.38/12,900.57
  6. Step 6: Final answer
    x = 10,485.72

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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.