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Finding the Fourth Proportional to 11,604.71, 16,020.40 and 7,360.10

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Solution

The fourth proportional to 11,604.71, 16,020.40 and 7,360.10 is: 10,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.71 : 16,020.40 = 7,360.10 : x
  2. Step 2: Convert to fraction form
    11,604.71/16,020.40 = 7,360.10/x
  3. Step 3: Cross multiply
    11,604.71x = 16,020.40 × 7,360.10
  4. Step 4: Simplify right side
    11,604.71x = 117,911,746.04
  5. Step 5: Solve for x
    x = 117,911,746.04/11,604.71
  6. Step 6: Final answer
    x = 10,160.68

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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.