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Finding the Fourth Proportional to 10,430.25, 14,393.75 and 5,714.64

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Solution

The fourth proportional to 10,430.25, 14,393.75 and 5,714.64 is: 7,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.25 : 14,393.75 = 5,714.64 : x
  2. Step 2: Convert to fraction form
    10,430.25/14,393.75 = 5,714.64/x
  3. Step 3: Cross multiply
    10,430.25x = 14,393.75 × 5,714.64
  4. Step 4: Simplify right side
    10,430.25x = 82,255,070.93
  5. Step 5: Solve for x
    x = 82,255,070.93/10,430.25
  6. Step 6: Final answer
    x = 7,886.20

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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.