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Finding the Fourth Proportional to 10,306.10, 15,435.09 and 7,525.88

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Solution

The fourth proportional to 10,306.10, 15,435.09 and 7,525.88 is: 11,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.10 : 15,435.09 = 7,525.88 : x
  2. Step 2: Convert to fraction form
    10,306.10/15,435.09 = 7,525.88/x
  3. Step 3: Cross multiply
    10,306.10x = 15,435.09 × 7,525.88
  4. Step 4: Simplify right side
    10,306.10x = 116,162,615.84
  5. Step 5: Solve for x
    x = 116,162,615.84/10,306.10
  6. Step 6: Final answer
    x = 11,271.25

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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.