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Finding the Fourth Proportional to 13,884.16, 19,160.08 and 7,510.76

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Solution

The fourth proportional to 13,884.16, 19,160.08 and 7,510.76 is: 10,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.16 : 19,160.08 = 7,510.76 : x
  2. Step 2: Convert to fraction form
    13,884.16/19,160.08 = 7,510.76/x
  3. Step 3: Cross multiply
    13,884.16x = 19,160.08 × 7,510.76
  4. Step 4: Simplify right side
    13,884.16x = 143,906,719.73
  5. Step 5: Solve for x
    x = 143,906,719.73/13,884.16
  6. Step 6: Final answer
    x = 10,364.81

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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.