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Finding the Fourth Proportional to 6,743.59, 10,088.35 and 5,829.00

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Solution

The fourth proportional to 6,743.59, 10,088.35 and 5,829.00 is: 8,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.59 : 10,088.35 = 5,829.00 : x
  2. Step 2: Convert to fraction form
    6,743.59/10,088.35 = 5,829.00/x
  3. Step 3: Cross multiply
    6,743.59x = 10,088.35 × 5,829.00
  4. Step 4: Simplify right side
    6,743.59x = 58,804,939.75
  5. Step 5: Solve for x
    x = 58,804,939.75/6,743.59
  6. Step 6: Final answer
    x = 8,720.13

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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.