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Finding the Fourth Proportional to 11,384.95, 15,711.32 and 6,349.49

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Solution

The fourth proportional to 11,384.95, 15,711.32 and 6,349.49 is: 8,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.95 : 15,711.32 = 6,349.49 : x
  2. Step 2: Convert to fraction form
    11,384.95/15,711.32 = 6,349.49/x
  3. Step 3: Cross multiply
    11,384.95x = 15,711.32 × 6,349.49
  4. Step 4: Simplify right side
    11,384.95x = 99,758,900.57
  5. Step 5: Solve for x
    x = 99,758,900.57/11,384.95
  6. Step 6: Final answer
    x = 8,762.35

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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.