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Finding the Fourth Proportional to 10,476.36, 14,457.06 and 6,697.80

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Solution

The fourth proportional to 10,476.36, 14,457.06 and 6,697.80 is: 9,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.36 : 14,457.06 = 6,697.80 : x
  2. Step 2: Convert to fraction form
    10,476.36/14,457.06 = 6,697.80/x
  3. Step 3: Cross multiply
    10,476.36x = 14,457.06 × 6,697.80
  4. Step 4: Simplify right side
    10,476.36x = 96,830,496.47
  5. Step 5: Solve for x
    x = 96,830,496.47/10,476.36
  6. Step 6: Final answer
    x = 9,242.76

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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.