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Finding the Fourth Proportional to 10,659.84, 14,710.62 and 6,184.44

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Solution

The fourth proportional to 10,659.84, 14,710.62 and 6,184.44 is: 8,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.84 : 14,710.62 = 6,184.44 : x
  2. Step 2: Convert to fraction form
    10,659.84/14,710.62 = 6,184.44/x
  3. Step 3: Cross multiply
    10,659.84x = 14,710.62 × 6,184.44
  4. Step 4: Simplify right side
    10,659.84x = 90,976,946.75
  5. Step 5: Solve for x
    x = 90,976,946.75/10,659.84
  6. Step 6: Final answer
    x = 8,534.55

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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.