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Finding the Fourth Proportional to 11,384.45, 15,710.63 and 6,348.99

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Solution

The fourth proportional to 11,384.45, 15,710.63 and 6,348.99 is: 8,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.45 : 15,710.63 = 6,348.99 : x
  2. Step 2: Convert to fraction form
    11,384.45/15,710.63 = 6,348.99/x
  3. Step 3: Cross multiply
    11,384.45x = 15,710.63 × 6,348.99
  4. Step 4: Simplify right side
    11,384.45x = 99,746,632.76
  5. Step 5: Solve for x
    x = 99,746,632.76/11,384.45
  6. Step 6: Final answer
    x = 8,761.66

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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.