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Finding the Fourth Proportional to 10,762.72, 14,859.18 and 8,533.60

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Solution

The fourth proportional to 10,762.72, 14,859.18 and 8,533.60 is: 11,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.72 : 14,859.18 = 8,533.60 : x
  2. Step 2: Convert to fraction form
    10,762.72/14,859.18 = 8,533.60/x
  3. Step 3: Cross multiply
    10,762.72x = 14,859.18 × 8,533.60
  4. Step 4: Simplify right side
    10,762.72x = 126,802,298.45
  5. Step 5: Solve for x
    x = 126,802,298.45/10,762.72
  6. Step 6: Final answer
    x = 11,781.62

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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.