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Finding the Fourth Proportional to 10,499.53, 14,508.66 and 7,662.10

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Solution

The fourth proportional to 10,499.53, 14,508.66 and 7,662.10 is: 10,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.53 : 14,508.66 = 7,662.10 : x
  2. Step 2: Convert to fraction form
    10,499.53/14,508.66 = 7,662.10/x
  3. Step 3: Cross multiply
    10,499.53x = 14,508.66 × 7,662.10
  4. Step 4: Simplify right side
    10,499.53x = 111,166,803.79
  5. Step 5: Solve for x
    x = 111,166,803.79/10,499.53
  6. Step 6: Final answer
    x = 10,587.79

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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.