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Finding the Fourth Proportional to 11,544.60, 15,931.29 and 6,830.40

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Solution

The fourth proportional to 11,544.60, 15,931.29 and 6,830.40 is: 9,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.60 : 15,931.29 = 6,830.40 : x
  2. Step 2: Convert to fraction form
    11,544.60/15,931.29 = 6,830.40/x
  3. Step 3: Cross multiply
    11,544.60x = 15,931.29 × 6,830.40
  4. Step 4: Simplify right side
    11,544.60x = 108,817,083.22
  5. Step 5: Solve for x
    x = 108,817,083.22/11,544.60
  6. Step 6: Final answer
    x = 9,425.80

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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.