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Finding the Fourth Proportional to 7,406.20, 10,214.78 and 4,421.40

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Solution

The fourth proportional to 7,406.20, 10,214.78 and 4,421.40 is: 6,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.20 : 10,214.78 = 4,421.40 : x
  2. Step 2: Convert to fraction form
    7,406.20/10,214.78 = 4,421.40/x
  3. Step 3: Cross multiply
    7,406.20x = 10,214.78 × 4,421.40
  4. Step 4: Simplify right side
    7,406.20x = 45,163,628.29
  5. Step 5: Solve for x
    x = 45,163,628.29/7,406.20
  6. Step 6: Final answer
    x = 6,098.08

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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.