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Finding the Fourth Proportional to 10,539.59, 14,544.06 and 5,823.56

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Solution

The fourth proportional to 10,539.59, 14,544.06 and 5,823.56 is: 8,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.59 : 14,544.06 = 5,823.56 : x
  2. Step 2: Convert to fraction form
    10,539.59/14,544.06 = 5,823.56/x
  3. Step 3: Cross multiply
    10,539.59x = 14,544.06 × 5,823.56
  4. Step 4: Simplify right side
    10,539.59x = 84,698,220.58
  5. Step 5: Solve for x
    x = 84,698,220.58/10,539.59
  6. Step 6: Final answer
    x = 8,036.20

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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.