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Finding the Fourth Proportional to 10,509.74, 14,503.54 and 5,794.20

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Solution

The fourth proportional to 10,509.74, 14,503.54 and 5,794.20 is: 7,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.74 : 14,503.54 = 5,794.20 : x
  2. Step 2: Convert to fraction form
    10,509.74/14,503.54 = 5,794.20/x
  3. Step 3: Cross multiply
    10,509.74x = 14,503.54 × 5,794.20
  4. Step 4: Simplify right side
    10,509.74x = 84,036,411.47
  5. Step 5: Solve for x
    x = 84,036,411.47/10,509.74
  6. Step 6: Final answer
    x = 7,996.05

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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.