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Finding the Fourth Proportional to 10,830.60, 16,228.62 and 6,931.80

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Solution

The fourth proportional to 10,830.60, 16,228.62 and 6,931.80 is: 10,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.60 : 16,228.62 = 6,931.80 : x
  2. Step 2: Convert to fraction form
    10,830.60/16,228.62 = 6,931.80/x
  3. Step 3: Cross multiply
    10,830.60x = 16,228.62 × 6,931.80
  4. Step 4: Simplify right side
    10,830.60x = 112,493,548.12
  5. Step 5: Solve for x
    x = 112,493,548.12/10,830.60
  6. Step 6: Final answer
    x = 10,386.64

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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.