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Finding the Fourth Proportional to 10,497.58, 14,487.32 and 5,781.86

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Solution

The fourth proportional to 10,497.58, 14,487.32 and 5,781.86 is: 7,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.58 : 14,487.32 = 5,781.86 : x
  2. Step 2: Convert to fraction form
    10,497.58/14,487.32 = 5,781.86/x
  3. Step 3: Cross multiply
    10,497.58x = 14,487.32 × 5,781.86
  4. Step 4: Simplify right side
    10,497.58x = 83,763,656.02
  5. Step 5: Solve for x
    x = 83,763,656.02/10,497.58
  6. Step 6: Final answer
    x = 7,979.33

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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.