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Finding the Fourth Proportional to 10,366.32, 14,305.88 and 7,346.84

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Solution

The fourth proportional to 10,366.32, 14,305.88 and 7,346.84 is: 10,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.32 : 14,305.88 = 7,346.84 : x
  2. Step 2: Convert to fraction form
    10,366.32/14,305.88 = 7,346.84/x
  3. Step 3: Cross multiply
    10,366.32x = 14,305.88 × 7,346.84
  4. Step 4: Simplify right side
    10,366.32x = 105,103,011.42
  5. Step 5: Solve for x
    x = 105,103,011.42/10,366.32
  6. Step 6: Final answer
    x = 10,138.89

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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.