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Finding the Fourth Proportional to 7,810.88, 11,701.61 and 3,857.51

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Solution

The fourth proportional to 7,810.88, 11,701.61 and 3,857.51 is: 5,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.88 : 11,701.61 = 3,857.51 : x
  2. Step 2: Convert to fraction form
    7,810.88/11,701.61 = 3,857.51/x
  3. Step 3: Cross multiply
    7,810.88x = 11,701.61 × 3,857.51
  4. Step 4: Simplify right side
    7,810.88x = 45,139,077.59
  5. Step 5: Solve for x
    x = 45,139,077.59/7,810.88
  6. Step 6: Final answer
    x = 5,779.00

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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.