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Finding the Fourth Proportional to 10,277.60, 15,423.60 and 6,588.80

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Solution

The fourth proportional to 10,277.60, 15,423.60 and 6,588.80 is: 9,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.60 : 15,423.60 = 6,588.80 : x
  2. Step 2: Convert to fraction form
    10,277.60/15,423.60 = 6,588.80/x
  3. Step 3: Cross multiply
    10,277.60x = 15,423.60 × 6,588.80
  4. Step 4: Simplify right side
    10,277.60x = 101,623,015.68
  5. Step 5: Solve for x
    x = 101,623,015.68/10,277.60
  6. Step 6: Final answer
    x = 9,887.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.