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Finding the Fourth Proportional to 10,498.65, 14,487.57 and 6,520.07

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Solution

The fourth proportional to 10,498.65, 14,487.57 and 6,520.07 is: 8,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.65 : 14,487.57 = 6,520.07 : x
  2. Step 2: Convert to fraction form
    10,498.65/14,487.57 = 6,520.07/x
  3. Step 3: Cross multiply
    10,498.65x = 14,487.57 × 6,520.07
  4. Step 4: Simplify right side
    10,498.65x = 94,459,898.09
  5. Step 5: Solve for x
    x = 94,459,898.09/10,498.65
  6. Step 6: Final answer
    x = 8,997.34

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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.