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Finding the Fourth Proportional to 13,860.76, 19,125.75 and 7,810.74

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Solution

The fourth proportional to 13,860.76, 19,125.75 and 7,810.74 is: 10,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860.76 : 19,125.75 = 7,810.74 : x
  2. Step 2: Convert to fraction form
    13,860.76/19,125.75 = 7,810.74/x
  3. Step 3: Cross multiply
    13,860.76x = 19,125.75 × 7,810.74
  4. Step 4: Simplify right side
    13,860.76x = 149,386,260.56
  5. Step 5: Solve for x
    x = 149,386,260.56/13,860.76
  6. Step 6: Final answer
    x = 10,777.64

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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.