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Finding the Fourth Proportional to 10,499.44, 14,488.69 and 6,520.47

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Solution

The fourth proportional to 10,499.44, 14,488.69 and 6,520.47 is: 8,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.44 : 14,488.69 = 6,520.47 : x
  2. Step 2: Convert to fraction form
    10,499.44/14,488.69 = 6,520.47/x
  3. Step 3: Cross multiply
    10,499.44x = 14,488.69 × 6,520.47
  4. Step 4: Simplify right side
    10,499.44x = 94,473,068.48
  5. Step 5: Solve for x
    x = 94,473,068.48/10,499.44
  6. Step 6: Final answer
    x = 8,997.91

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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.