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Finding the Fourth Proportional to 10,500.51, 14,490.72 and 5,784.69

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Solution

The fourth proportional to 10,500.51, 14,490.72 and 5,784.69 is: 7,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.51 : 14,490.72 = 5,784.69 : x
  2. Step 2: Convert to fraction form
    10,500.51/14,490.72 = 5,784.69/x
  3. Step 3: Cross multiply
    10,500.51x = 14,490.72 × 5,784.69
  4. Step 4: Simplify right side
    10,500.51x = 83,824,323.08
  5. Step 5: Solve for x
    x = 83,824,323.08/10,500.51
  6. Step 6: Final answer
    x = 7,982.88

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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.