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Finding the Fourth Proportional to 10,357.35, 15,533.06 and 5,089.11

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Solution

The fourth proportional to 10,357.35, 15,533.06 and 5,089.11 is: 7,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.35 : 15,533.06 = 5,089.11 : x
  2. Step 2: Convert to fraction form
    10,357.35/15,533.06 = 5,089.11/x
  3. Step 3: Cross multiply
    10,357.35x = 15,533.06 × 5,089.11
  4. Step 4: Simplify right side
    10,357.35x = 79,049,425.53
  5. Step 5: Solve for x
    x = 79,049,425.53/10,357.35
  6. Step 6: Final answer
    x = 7,632.21

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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.