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Finding the Fourth Proportional to 10,465.19, 14,448.64 and 7,277.33

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Solution

The fourth proportional to 10,465.19, 14,448.64 and 7,277.33 is: 10,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.19 : 14,448.64 = 7,277.33 : x
  2. Step 2: Convert to fraction form
    10,465.19/14,448.64 = 7,277.33/x
  3. Step 3: Cross multiply
    10,465.19x = 14,448.64 × 7,277.33
  4. Step 4: Simplify right side
    10,465.19x = 105,147,521.33
  5. Step 5: Solve for x
    x = 105,147,521.33/10,465.19
  6. Step 6: Final answer
    x = 10,047.36

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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.