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Finding the Fourth Proportional to 7,456.32, 10,289.59 and 4,099.11

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Solution

The fourth proportional to 7,456.32, 10,289.59 and 4,099.11 is: 5,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.32 : 10,289.59 = 4,099.11 : x
  2. Step 2: Convert to fraction form
    7,456.32/10,289.59 = 4,099.11/x
  3. Step 3: Cross multiply
    7,456.32x = 10,289.59 × 4,099.11
  4. Step 4: Simplify right side
    7,456.32x = 42,178,109.82
  5. Step 5: Solve for x
    x = 42,178,109.82/7,456.32
  6. Step 6: Final answer
    x = 5,656.69

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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.