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Finding the Fourth Proportional to 10,762.32, 14,853.42 and 6,046.86

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Solution

The fourth proportional to 10,762.32, 14,853.42 and 6,046.86 is: 8,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.32 : 14,853.42 = 6,046.86 : x
  2. Step 2: Convert to fraction form
    10,762.32/14,853.42 = 6,046.86/x
  3. Step 3: Cross multiply
    10,762.32x = 14,853.42 × 6,046.86
  4. Step 4: Simplify right side
    10,762.32x = 89,816,551.26
  5. Step 5: Solve for x
    x = 89,816,551.26/10,762.32
  6. Step 6: Final answer
    x = 8,345.46

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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.