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Finding the Fourth Proportional to 10,011.25, 13,816.05 and 5,762.95

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Solution

The fourth proportional to 10,011.25, 13,816.05 and 5,762.95 is: 7,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.25 : 13,816.05 = 5,762.95 : x
  2. Step 2: Convert to fraction form
    10,011.25/13,816.05 = 5,762.95/x
  3. Step 3: Cross multiply
    10,011.25x = 13,816.05 × 5,762.95
  4. Step 4: Simplify right side
    10,011.25x = 79,621,205.35
  5. Step 5: Solve for x
    x = 79,621,205.35/10,011.25
  6. Step 6: Final answer
    x = 7,953.17

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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.