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Finding the Fourth Proportional to 7,402.32, 10,214.51 and 5,007.42

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Solution

The fourth proportional to 7,402.32, 10,214.51 and 5,007.42 is: 6,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.32 : 10,214.51 = 5,007.42 : x
  2. Step 2: Convert to fraction form
    7,402.32/10,214.51 = 5,007.42/x
  3. Step 3: Cross multiply
    7,402.32x = 10,214.51 × 5,007.42
  4. Step 4: Simplify right side
    7,402.32x = 51,148,316.63
  5. Step 5: Solve for x
    x = 51,148,316.63/7,402.32
  6. Step 6: Final answer
    x = 6,909.77

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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.