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Finding the Fourth Proportional to 10,427.85, 14,391.08 and 5,712.12

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Solution

The fourth proportional to 10,427.85, 14,391.08 and 5,712.12 is: 7,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.85 : 14,391.08 = 5,712.12 : x
  2. Step 2: Convert to fraction form
    10,427.85/14,391.08 = 5,712.12/x
  3. Step 3: Cross multiply
    10,427.85x = 14,391.08 × 5,712.12
  4. Step 4: Simplify right side
    10,427.85x = 82,203,547.33
  5. Step 5: Solve for x
    x = 82,203,547.33/10,427.85
  6. Step 6: Final answer
    x = 7,883.08

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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.