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Finding the Fourth Proportional to 10,430.31, 14,393.68 and 5,714.61

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Solution

The fourth proportional to 10,430.31, 14,393.68 and 5,714.61 is: 7,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.31 : 14,393.68 = 5,714.61 : x
  2. Step 2: Convert to fraction form
    10,430.31/14,393.68 = 5,714.61/x
  3. Step 3: Cross multiply
    10,430.31x = 14,393.68 × 5,714.61
  4. Step 4: Simplify right side
    10,430.31x = 82,254,267.66
  5. Step 5: Solve for x
    x = 82,254,267.66/10,430.31
  6. Step 6: Final answer
    x = 7,886.08

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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.