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Finding the Fourth Proportional to 10,859.84, 14,984.86 and 6,387.40

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Solution

The fourth proportional to 10,859.84, 14,984.86 and 6,387.40 is: 8,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.84 : 14,984.86 = 6,387.40 : x
  2. Step 2: Convert to fraction form
    10,859.84/14,984.86 = 6,387.40/x
  3. Step 3: Cross multiply
    10,859.84x = 14,984.86 × 6,387.40
  4. Step 4: Simplify right side
    10,859.84x = 95,714,294.76
  5. Step 5: Solve for x
    x = 95,714,294.76/10,859.84
  6. Step 6: Final answer
    x = 8,813.60

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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.