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Finding the Fourth Proportional to 7,402.70, 10,209.96 and 4,417.89

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Solution

The fourth proportional to 7,402.70, 10,209.96 and 4,417.89 is: 6,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.70 : 10,209.96 = 4,417.89 : x
  2. Step 2: Convert to fraction form
    7,402.70/10,209.96 = 4,417.89/x
  3. Step 3: Cross multiply
    7,402.70x = 10,209.96 × 4,417.89
  4. Step 4: Simplify right side
    7,402.70x = 45,106,480.18
  5. Step 5: Solve for x
    x = 45,106,480.18/7,402.70
  6. Step 6: Final answer
    x = 6,093.25

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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.