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Finding the Fourth Proportional to 11,646.60, 16,088.88 and 9,285.72

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Solution

The fourth proportional to 11,646.60, 16,088.88 and 9,285.72 is: 12,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.60 : 16,088.88 = 9,285.72 : x
  2. Step 2: Convert to fraction form
    11,646.60/16,088.88 = 9,285.72/x
  3. Step 3: Cross multiply
    11,646.60x = 16,088.88 × 9,285.72
  4. Step 4: Simplify right side
    11,646.60x = 149,396,834.79
  5. Step 5: Solve for x
    x = 149,396,834.79/11,646.60
  6. Step 6: Final answer
    x = 12,827.51

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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.