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Finding the Fourth Proportional to 7,402.19, 10,214.91 and 4,045.14

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Solution

The fourth proportional to 7,402.19, 10,214.91 and 4,045.14 is: 5,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.19 : 10,214.91 = 4,045.14 : x
  2. Step 2: Convert to fraction form
    7,402.19/10,214.91 = 4,045.14/x
  3. Step 3: Cross multiply
    7,402.19x = 10,214.91 × 4,045.14
  4. Step 4: Simplify right side
    7,402.19x = 41,320,741.04
  5. Step 5: Solve for x
    x = 41,320,741.04/7,402.19
  6. Step 6: Final answer
    x = 5,582.24

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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.