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Finding the Fourth Proportional to 7,527.84, 10,388.16 and 4,124.83

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Solution

The fourth proportional to 7,527.84, 10,388.16 and 4,124.83 is: 5,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.84 : 10,388.16 = 4,124.83 : x
  2. Step 2: Convert to fraction form
    7,527.84/10,388.16 = 4,124.83/x
  3. Step 3: Cross multiply
    7,527.84x = 10,388.16 × 4,124.83
  4. Step 4: Simplify right side
    7,527.84x = 42,849,394.01
  5. Step 5: Solve for x
    x = 42,849,394.01/7,527.84
  6. Step 6: Final answer
    x = 5,692.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.