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Finding the Fourth Proportional to 12,537.40, 17,303.38 and 7,758.88

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Solution

The fourth proportional to 12,537.40, 17,303.38 and 7,758.88 is: 10,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.40 : 17,303.38 = 7,758.88 : x
  2. Step 2: Convert to fraction form
    12,537.40/17,303.38 = 7,758.88/x
  3. Step 3: Cross multiply
    12,537.40x = 17,303.38 × 7,758.88
  4. Step 4: Simplify right side
    12,537.40x = 134,254,849.01
  5. Step 5: Solve for x
    x = 134,254,849.01/12,537.40
  6. Step 6: Final answer
    x = 10,708.35

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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.