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Finding the Fourth Proportional to 10,477.69, 14,459.51 and 5,762.27

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Solution

The fourth proportional to 10,477.69, 14,459.51 and 5,762.27 is: 7,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.69 : 14,459.51 = 5,762.27 : x
  2. Step 2: Convert to fraction form
    10,477.69/14,459.51 = 5,762.27/x
  3. Step 3: Cross multiply
    10,477.69x = 14,459.51 × 5,762.27
  4. Step 4: Simplify right side
    10,477.69x = 83,319,651.24
  5. Step 5: Solve for x
    x = 83,319,651.24/10,477.69
  6. Step 6: Final answer
    x = 7,952.10

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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.