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Finding the Fourth Proportional to 10,804.60, 16,250.10 and 9,681.40

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Solution

The fourth proportional to 10,804.60, 16,250.10 and 9,681.40 is: 14,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.60 : 16,250.10 = 9,681.40 : x
  2. Step 2: Convert to fraction form
    10,804.60/16,250.10 = 9,681.40/x
  3. Step 3: Cross multiply
    10,804.60x = 16,250.10 × 9,681.40
  4. Step 4: Simplify right side
    10,804.60x = 157,323,718.14
  5. Step 5: Solve for x
    x = 157,323,718.14/10,804.60
  6. Step 6: Final answer
    x = 14,560.81

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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.