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Finding the Fourth Proportional to 7,934.40, 10,953.96 and 5,420.16

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Solution

The fourth proportional to 7,934.40, 10,953.96 and 5,420.16 is: 7,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.40 : 10,953.96 = 5,420.16 : x
  2. Step 2: Convert to fraction form
    7,934.40/10,953.96 = 5,420.16/x
  3. Step 3: Cross multiply
    7,934.40x = 10,953.96 × 5,420.16
  4. Step 4: Simplify right side
    7,934.40x = 59,372,215.83
  5. Step 5: Solve for x
    x = 59,372,215.83/7,934.40
  6. Step 6: Final answer
    x = 7,482.89

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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.