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Finding the Fourth Proportional to 6,307.70, 8,708.29 and 4,186.10

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Solution

The fourth proportional to 6,307.70, 8,708.29 and 4,186.10 is: 5,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.70 : 8,708.29 = 4,186.10 : x
  2. Step 2: Convert to fraction form
    6,307.70/8,708.29 = 4,186.10/x
  3. Step 3: Cross multiply
    6,307.70x = 8,708.29 × 4,186.10
  4. Step 4: Simplify right side
    6,307.70x = 36,453,784.07
  5. Step 5: Solve for x
    x = 36,453,784.07/6,307.70
  6. Step 6: Final answer
    x = 5,779.26

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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.