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Finding the Fourth Proportional to 10,522.58, 15,786.45 and 3,502.58

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Solution

The fourth proportional to 10,522.58, 15,786.45 and 3,502.58 is: 5,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.58 : 15,786.45 = 3,502.58 : x
  2. Step 2: Convert to fraction form
    10,522.58/15,786.45 = 3,502.58/x
  3. Step 3: Cross multiply
    10,522.58x = 15,786.45 × 3,502.58
  4. Step 4: Simplify right side
    10,522.58x = 55,293,225.11
  5. Step 5: Solve for x
    x = 55,293,225.11/10,522.58
  6. Step 6: Final answer
    x = 5,254.72

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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.