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Finding the Fourth Proportional to 10,071.59, 13,900.78 and 6,435.31

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Solution

The fourth proportional to 10,071.59, 13,900.78 and 6,435.31 is: 8,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.59 : 13,900.78 = 6,435.31 : x
  2. Step 2: Convert to fraction form
    10,071.59/13,900.78 = 6,435.31/x
  3. Step 3: Cross multiply
    10,071.59x = 13,900.78 × 6,435.31
  4. Step 4: Simplify right side
    10,071.59x = 89,455,785.75
  5. Step 5: Solve for x
    x = 89,455,785.75/10,071.59
  6. Step 6: Final answer
    x = 8,881.99

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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.