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Finding the Fourth Proportional to 10,486.77, 15,735.60 and 9,881.70

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Solution

The fourth proportional to 10,486.77, 15,735.60 and 9,881.70 is: 14,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.77 : 15,735.60 = 9,881.70 : x
  2. Step 2: Convert to fraction form
    10,486.77/15,735.60 = 9,881.70/x
  3. Step 3: Cross multiply
    10,486.77x = 15,735.60 × 9,881.70
  4. Step 4: Simplify right side
    10,486.77x = 155,494,478.52
  5. Step 5: Solve for x
    x = 155,494,478.52/10,486.77
  6. Step 6: Final answer
    x = 14,827.68

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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.