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Finding the Fourth Proportional to 10,500.40, 14,490.48 and 5,784.64

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Solution

The fourth proportional to 10,500.40, 14,490.48 and 5,784.64 is: 7,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.40 : 14,490.48 = 5,784.64 : x
  2. Step 2: Convert to fraction form
    10,500.40/14,490.48 = 5,784.64/x
  3. Step 3: Cross multiply
    10,500.40x = 14,490.48 × 5,784.64
  4. Step 4: Simplify right side
    10,500.40x = 83,822,210.23
  5. Step 5: Solve for x
    x = 83,822,210.23/10,500.40
  6. Step 6: Final answer
    x = 7,982.76

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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.