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Finding the Fourth Proportional to 10,477.66, 14,462.57 and 6,710.97

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Solution

The fourth proportional to 10,477.66, 14,462.57 and 6,710.97 is: 9,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.66 : 14,462.57 = 6,710.97 : x
  2. Step 2: Convert to fraction form
    10,477.66/14,462.57 = 6,710.97/x
  3. Step 3: Cross multiply
    10,477.66x = 14,462.57 × 6,710.97
  4. Step 4: Simplify right side
    10,477.66x = 97,057,873.39
  5. Step 5: Solve for x
    x = 97,057,873.39/10,477.66
  6. Step 6: Final answer
    x = 9,263.32

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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.