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Finding the Fourth Proportional to 8,457.97, 11,671.91 and 4,681.14

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Solution

The fourth proportional to 8,457.97, 11,671.91 and 4,681.14 is: 6,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.97 : 11,671.91 = 4,681.14 : x
  2. Step 2: Convert to fraction form
    8,457.97/11,671.91 = 4,681.14/x
  3. Step 3: Cross multiply
    8,457.97x = 11,671.91 × 4,681.14
  4. Step 4: Simplify right side
    8,457.97x = 54,637,909.03
  5. Step 5: Solve for x
    x = 54,637,909.03/8,457.97
  6. Step 6: Final answer
    x = 6,459.93

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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.