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Finding the Fourth Proportional to 10,384.56, 15,579 and 4,539.60

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Solution

The fourth proportional to 10,384.56, 15,579 and 4,539.60 is: 6,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.56 : 15,579 = 4,539.60 : x
  2. Step 2: Convert to fraction form
    10,384.56/15,579 = 4,539.60/x
  3. Step 3: Cross multiply
    10,384.56x = 15,579 × 4,539.60
  4. Step 4: Simplify right side
    10,384.56x = 70,722,428.40
  5. Step 5: Solve for x
    x = 70,722,428.40/10,384.56
  6. Step 6: Final answer
    x = 6,810.34

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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.