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Finding the Fourth Proportional to 7,402.30, 10,214.89 and 4,045.08

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Solution

The fourth proportional to 7,402.30, 10,214.89 and 4,045.08 is: 5,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.30 : 10,214.89 = 4,045.08 : x
  2. Step 2: Convert to fraction form
    7,402.30/10,214.89 = 4,045.08/x
  3. Step 3: Cross multiply
    7,402.30x = 10,214.89 × 4,045.08
  4. Step 4: Simplify right side
    7,402.30x = 41,320,098.19
  5. Step 5: Solve for x
    x = 41,320,098.19/7,402.30
  6. Step 6: Final answer
    x = 5,582.06

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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.