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Finding the Fourth Proportional to 10,854.42, 14,962.77 and 8,492.46

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Solution

The fourth proportional to 10,854.42, 14,962.77 and 8,492.46 is: 11,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.42 : 14,962.77 = 8,492.46 : x
  2. Step 2: Convert to fraction form
    10,854.42/14,962.77 = 8,492.46/x
  3. Step 3: Cross multiply
    10,854.42x = 14,962.77 × 8,492.46
  4. Step 4: Simplify right side
    10,854.42x = 127,070,725.71
  5. Step 5: Solve for x
    x = 127,070,725.71/10,854.42
  6. Step 6: Final answer
    x = 11,706.82

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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.