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Finding the Fourth Proportional to 10,762.24, 14,818.14 and 9,778.06

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Solution

The fourth proportional to 10,762.24, 14,818.14 and 9,778.06 is: 13,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.24 : 14,818.14 = 9,778.06 : x
  2. Step 2: Convert to fraction form
    10,762.24/14,818.14 = 9,778.06/x
  3. Step 3: Cross multiply
    10,762.24x = 14,818.14 × 9,778.06
  4. Step 4: Simplify right side
    10,762.24x = 144,892,662.01
  5. Step 5: Solve for x
    x = 144,892,662.01/10,762.24
  6. Step 6: Final answer
    x = 13,463.06

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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.