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Finding the Fourth Proportional to 13,478.07, 18,599.76 and 7,510.92

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Solution

The fourth proportional to 13,478.07, 18,599.76 and 7,510.92 is: 10,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.07 : 18,599.76 = 7,510.92 : x
  2. Step 2: Convert to fraction form
    13,478.07/18,599.76 = 7,510.92/x
  3. Step 3: Cross multiply
    13,478.07x = 18,599.76 × 7,510.92
  4. Step 4: Simplify right side
    13,478.07x = 139,701,309.38
  5. Step 5: Solve for x
    x = 139,701,309.38/13,478.07
  6. Step 6: Final answer
    x = 10,365.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.