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Finding the Fourth Proportional to 8,237.14, 11,368.07 and 4,700.89

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Solution

The fourth proportional to 8,237.14, 11,368.07 and 4,700.89 is: 6,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.14 : 11,368.07 = 4,700.89 : x
  2. Step 2: Convert to fraction form
    8,237.14/11,368.07 = 4,700.89/x
  3. Step 3: Cross multiply
    8,237.14x = 11,368.07 × 4,700.89
  4. Step 4: Simplify right side
    8,237.14x = 53,440,017.41
  5. Step 5: Solve for x
    x = 53,440,017.41/8,237.14
  6. Step 6: Final answer
    x = 6,487.69

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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.