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Finding the Fourth Proportional to 10,552.78, 14,563.84 and 6,303.80

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Solution

The fourth proportional to 10,552.78, 14,563.84 and 6,303.80 is: 8,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.78 : 14,563.84 = 6,303.80 : x
  2. Step 2: Convert to fraction form
    10,552.78/14,563.84 = 6,303.80/x
  3. Step 3: Cross multiply
    10,552.78x = 14,563.84 × 6,303.80
  4. Step 4: Simplify right side
    10,552.78x = 91,807,534.59
  5. Step 5: Solve for x
    x = 91,807,534.59/10,552.78
  6. Step 6: Final answer
    x = 8,699.84

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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.