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Finding the Fourth Proportional to 7,357.92, 10,154.85 and 4,214.11

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Solution

The fourth proportional to 7,357.92, 10,154.85 and 4,214.11 is: 5,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.92 : 10,154.85 = 4,214.11 : x
  2. Step 2: Convert to fraction form
    7,357.92/10,154.85 = 4,214.11/x
  3. Step 3: Cross multiply
    7,357.92x = 10,154.85 × 4,214.11
  4. Step 4: Simplify right side
    7,357.92x = 42,793,656.49
  5. Step 5: Solve for x
    x = 42,793,656.49/7,357.92
  6. Step 6: Final answer
    x = 5,816.00

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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.