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Finding the Fourth Proportional to 10,374.52, 15,559.86 and 3,803.80

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Solution

The fourth proportional to 10,374.52, 15,559.86 and 3,803.80 is: 5,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.52 : 15,559.86 = 3,803.80 : x
  2. Step 2: Convert to fraction form
    10,374.52/15,559.86 = 3,803.80/x
  3. Step 3: Cross multiply
    10,374.52x = 15,559.86 × 3,803.80
  4. Step 4: Simplify right side
    10,374.52x = 59,186,595.47
  5. Step 5: Solve for x
    x = 59,186,595.47/10,374.52
  6. Step 6: Final answer
    x = 5,705.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.