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Finding the Fourth Proportional to 10,490.84, 14,476.93 and 6,011.48

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Solution

The fourth proportional to 10,490.84, 14,476.93 and 6,011.48 is: 8,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.84 : 14,476.93 = 6,011.48 : x
  2. Step 2: Convert to fraction form
    10,490.84/14,476.93 = 6,011.48/x
  3. Step 3: Cross multiply
    10,490.84x = 14,476.93 × 6,011.48
  4. Step 4: Simplify right side
    10,490.84x = 87,027,672.71
  5. Step 5: Solve for x
    x = 87,027,672.71/10,490.84
  6. Step 6: Final answer
    x = 8,295.59

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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.