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Finding the Fourth Proportional to 7,465.96, 10,298.10 and 4,319.92

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Solution

The fourth proportional to 7,465.96, 10,298.10 and 4,319.92 is: 5,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.96 : 10,298.10 = 4,319.92 : x
  2. Step 2: Convert to fraction form
    7,465.96/10,298.10 = 4,319.92/x
  3. Step 3: Cross multiply
    7,465.96x = 10,298.10 × 4,319.92
  4. Step 4: Simplify right side
    7,465.96x = 44,486,968.15
  5. Step 5: Solve for x
    x = 44,486,968.15/7,465.96
  6. Step 6: Final answer
    x = 5,958.64

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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.