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Finding the Fourth Proportional to 8,476.32, 11,697.30 and 4,699.50

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Solution

The fourth proportional to 8,476.32, 11,697.30 and 4,699.50 is: 6,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.32 : 11,697.30 = 4,699.50 : x
  2. Step 2: Convert to fraction form
    8,476.32/11,697.30 = 4,699.50/x
  3. Step 3: Cross multiply
    8,476.32x = 11,697.30 × 4,699.50
  4. Step 4: Simplify right side
    8,476.32x = 54,971,461.35
  5. Step 5: Solve for x
    x = 54,971,461.35/8,476.32
  6. Step 6: Final answer
    x = 6,485.30

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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.