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Finding the Fourth Proportional to 10,758.72, 14,842.32 and 6,282

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Solution

The fourth proportional to 10,758.72, 14,842.32 and 6,282 is: 8,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.72 : 14,842.32 = 6,282 : x
  2. Step 2: Convert to fraction form
    10,758.72/14,842.32 = 6,282/x
  3. Step 3: Cross multiply
    10,758.72x = 14,842.32 × 6,282
  4. Step 4: Simplify right side
    10,758.72x = 93,239,454.24
  5. Step 5: Solve for x
    x = 93,239,454.24/10,758.72
  6. Step 6: Final answer
    x = 8,666.41

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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.