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Finding the Fourth Proportional to 10,124.72, 15,188.64 and 4,282.88

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Solution

The fourth proportional to 10,124.72, 15,188.64 and 4,282.88 is: 6,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.72 : 15,188.64 = 4,282.88 : x
  2. Step 2: Convert to fraction form
    10,124.72/15,188.64 = 4,282.88/x
  3. Step 3: Cross multiply
    10,124.72x = 15,188.64 × 4,282.88
  4. Step 4: Simplify right side
    10,124.72x = 65,051,122.48
  5. Step 5: Solve for x
    x = 65,051,122.48/10,124.72
  6. Step 6: Final answer
    x = 6,424.98

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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.