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Finding the Fourth Proportional to 8,140.13, 11,235 and 4,784.03

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Solution

The fourth proportional to 8,140.13, 11,235 and 4,784.03 is: 6,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.13 : 11,235 = 4,784.03 : x
  2. Step 2: Convert to fraction form
    8,140.13/11,235 = 4,784.03/x
  3. Step 3: Cross multiply
    8,140.13x = 11,235 × 4,784.03
  4. Step 4: Simplify right side
    8,140.13x = 53,748,520.88
  5. Step 5: Solve for x
    x = 53,748,520.88/8,140.13
  6. Step 6: Final answer
    x = 6,602.91

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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.