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Finding the Fourth Proportional to 10,357.84, 15,525.72 and 4,115.16

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Solution

The fourth proportional to 10,357.84, 15,525.72 and 4,115.16 is: 6,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.84 : 15,525.72 = 4,115.16 : x
  2. Step 2: Convert to fraction form
    10,357.84/15,525.72 = 4,115.16/x
  3. Step 3: Cross multiply
    10,357.84x = 15,525.72 × 4,115.16
  4. Step 4: Simplify right side
    10,357.84x = 63,890,821.92
  5. Step 5: Solve for x
    x = 63,890,821.92/10,357.84
  6. Step 6: Final answer
    x = 6,168.35

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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.