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Finding the Fourth Proportional to 10,364.31, 14,303.14 and 5,888.82

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Solution

The fourth proportional to 10,364.31, 14,303.14 and 5,888.82 is: 8,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.31 : 14,303.14 = 5,888.82 : x
  2. Step 2: Convert to fraction form
    10,364.31/14,303.14 = 5,888.82/x
  3. Step 3: Cross multiply
    10,364.31x = 14,303.14 × 5,888.82
  4. Step 4: Simplify right side
    10,364.31x = 84,228,627.15
  5. Step 5: Solve for x
    x = 84,228,627.15/10,364.31
  6. Step 6: Final answer
    x = 8,126.79

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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.