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Finding the Fourth Proportional to 10,277.69, 15,417.11 and 5,017.19

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Solution

The fourth proportional to 10,277.69, 15,417.11 and 5,017.19 is: 7,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.69 : 15,417.11 = 5,017.19 : x
  2. Step 2: Convert to fraction form
    10,277.69/15,417.11 = 5,017.19/x
  3. Step 3: Cross multiply
    10,277.69x = 15,417.11 × 5,017.19
  4. Step 4: Simplify right side
    10,277.69x = 77,350,467.95
  5. Step 5: Solve for x
    x = 77,350,467.95/10,277.69
  6. Step 6: Final answer
    x = 7,526.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.