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Finding the Fourth Proportional to 10,500.71, 14,490.97 and 5,784.95

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Solution

The fourth proportional to 10,500.71, 14,490.97 and 5,784.95 is: 7,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.71 : 14,490.97 = 5,784.95 : x
  2. Step 2: Convert to fraction form
    10,500.71/14,490.97 = 5,784.95/x
  3. Step 3: Cross multiply
    10,500.71x = 14,490.97 × 5,784.95
  4. Step 4: Simplify right side
    10,500.71x = 83,829,558.67
  5. Step 5: Solve for x
    x = 83,829,558.67/10,500.71
  6. Step 6: Final answer
    x = 7,983.23

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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.