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Finding the Fourth Proportional to 8,586.84, 11,849.70 and 4,810.14

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Solution

The fourth proportional to 8,586.84, 11,849.70 and 4,810.14 is: 6,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.84 : 11,849.70 = 4,810.14 : x
  2. Step 2: Convert to fraction form
    8,586.84/11,849.70 = 4,810.14/x
  3. Step 3: Cross multiply
    8,586.84x = 11,849.70 × 4,810.14
  4. Step 4: Simplify right side
    8,586.84x = 56,998,656.71
  5. Step 5: Solve for x
    x = 56,998,656.71/8,586.84
  6. Step 6: Final answer
    x = 6,637.91

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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.