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Finding the Fourth Proportional to 10,500.31, 14,490.54 and 5,784.76

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Solution

The fourth proportional to 10,500.31, 14,490.54 and 5,784.76 is: 7,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.31 : 14,490.54 = 5,784.76 : x
  2. Step 2: Convert to fraction form
    10,500.31/14,490.54 = 5,784.76/x
  3. Step 3: Cross multiply
    10,500.31x = 14,490.54 × 5,784.76
  4. Step 4: Simplify right side
    10,500.31x = 83,824,296.17
  5. Step 5: Solve for x
    x = 83,824,296.17/10,500.31
  6. Step 6: Final answer
    x = 7,983.03

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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.