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Finding the Fourth Proportional to 10,378.59, 14,322.40 and 5,662.86

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Solution

The fourth proportional to 10,378.59, 14,322.40 and 5,662.86 is: 7,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.59 : 14,322.40 = 5,662.86 : x
  2. Step 2: Convert to fraction form
    10,378.59/14,322.40 = 5,662.86/x
  3. Step 3: Cross multiply
    10,378.59x = 14,322.40 × 5,662.86
  4. Step 4: Simplify right side
    10,378.59x = 81,105,746.06
  5. Step 5: Solve for x
    x = 81,105,746.06/10,378.59
  6. Step 6: Final answer
    x = 7,814.72

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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.