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Finding the Fourth Proportional to 10,459.26, 14,443.16 and 7,802.06

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Solution

The fourth proportional to 10,459.26, 14,443.16 and 7,802.06 is: 10,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.26 : 14,443.16 = 7,802.06 : x
  2. Step 2: Convert to fraction form
    10,459.26/14,443.16 = 7,802.06/x
  3. Step 3: Cross multiply
    10,459.26x = 14,443.16 × 7,802.06
  4. Step 4: Simplify right side
    10,459.26x = 112,686,289.68
  5. Step 5: Solve for x
    x = 112,686,289.68/10,459.26
  6. Step 6: Final answer
    x = 10,773.83

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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.