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Finding the Fourth Proportional to 10,714.98, 14,792.58 and 7,196.88

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Solution

The fourth proportional to 10,714.98, 14,792.58 and 7,196.88 is: 9,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.98 : 14,792.58 = 7,196.88 : x
  2. Step 2: Convert to fraction form
    10,714.98/14,792.58 = 7,196.88/x
  3. Step 3: Cross multiply
    10,714.98x = 14,792.58 × 7,196.88
  4. Step 4: Simplify right side
    10,714.98x = 106,460,423.15
  5. Step 5: Solve for x
    x = 106,460,423.15/10,714.98
  6. Step 6: Final answer
    x = 9,935.66

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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.