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Finding the Fourth Proportional to 12,708.71, 19,062.91 and 5,210.59

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Solution

The fourth proportional to 12,708.71, 19,062.91 and 5,210.59 is: 7,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.71 : 19,062.91 = 5,210.59 : x
  2. Step 2: Convert to fraction form
    12,708.71/19,062.91 = 5,210.59/x
  3. Step 3: Cross multiply
    12,708.71x = 19,062.91 × 5,210.59
  4. Step 4: Simplify right side
    12,708.71x = 99,329,008.22
  5. Step 5: Solve for x
    x = 99,329,008.22/12,708.71
  6. Step 6: Final answer
    x = 7,815.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.