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Finding the Fourth Proportional to 10,430.40, 14,393.64 and 5,714.52

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Solution

The fourth proportional to 10,430.40, 14,393.64 and 5,714.52 is: 7,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.40 : 14,393.64 = 5,714.52 : x
  2. Step 2: Convert to fraction form
    10,430.40/14,393.64 = 5,714.52/x
  3. Step 3: Cross multiply
    10,430.40x = 14,393.64 × 5,714.52
  4. Step 4: Simplify right side
    10,430.40x = 82,252,743.65
  5. Step 5: Solve for x
    x = 82,252,743.65/10,430.40
  6. Step 6: Final answer
    x = 7,885.87

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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.