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Finding the Fourth Proportional to 10,430.64, 14,394.06 and 5,714.82

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Solution

The fourth proportional to 10,430.64, 14,394.06 and 5,714.82 is: 7,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.64 : 14,394.06 = 5,714.82 : x
  2. Step 2: Convert to fraction form
    10,430.64/14,394.06 = 5,714.82/x
  3. Step 3: Cross multiply
    10,430.64x = 14,394.06 × 5,714.82
  4. Step 4: Simplify right side
    10,430.64x = 82,259,461.97
  5. Step 5: Solve for x
    x = 82,259,461.97/10,430.64
  6. Step 6: Final answer
    x = 7,886.33

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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.