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Finding the Fourth Proportional to 10,591.32, 14,616.03 and 5,875.60

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Solution

The fourth proportional to 10,591.32, 14,616.03 and 5,875.60 is: 8,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.32 : 14,616.03 = 5,875.60 : x
  2. Step 2: Convert to fraction form
    10,591.32/14,616.03 = 5,875.60/x
  3. Step 3: Cross multiply
    10,591.32x = 14,616.03 × 5,875.60
  4. Step 4: Simplify right side
    10,591.32x = 85,877,909.33
  5. Step 5: Solve for x
    x = 85,877,909.33/10,591.32
  6. Step 6: Final answer
    x = 8,108.33

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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.