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Finding the Fourth Proportional to 12,907.50, 17,810.61 and 7,164.87

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Solution

The fourth proportional to 12,907.50, 17,810.61 and 7,164.87 is: 9,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.50 : 17,810.61 = 7,164.87 : x
  2. Step 2: Convert to fraction form
    12,907.50/17,810.61 = 7,164.87/x
  3. Step 3: Cross multiply
    12,907.50x = 17,810.61 × 7,164.87
  4. Step 4: Simplify right side
    12,907.50x = 127,610,705.27
  5. Step 5: Solve for x
    x = 127,610,705.27/12,907.50
  6. Step 6: Final answer
    x = 9,886.55

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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.