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Finding the Fourth Proportional to 10,368.96, 14,306.64 and 6,337.92

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Solution

The fourth proportional to 10,368.96, 14,306.64 and 6,337.92 is: 8,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.96 : 14,306.64 = 6,337.92 : x
  2. Step 2: Convert to fraction form
    10,368.96/14,306.64 = 6,337.92/x
  3. Step 3: Cross multiply
    10,368.96x = 14,306.64 × 6,337.92
  4. Step 4: Simplify right side
    10,368.96x = 90,674,339.79
  5. Step 5: Solve for x
    x = 90,674,339.79/10,368.96
  6. Step 6: Final answer
    x = 8,744.79

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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.