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Finding the Fourth Proportional to 10,117.51, 13,964.39 and 6,574.57

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Solution

The fourth proportional to 10,117.51, 13,964.39 and 6,574.57 is: 9,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.51 : 13,964.39 = 6,574.57 : x
  2. Step 2: Convert to fraction form
    10,117.51/13,964.39 = 6,574.57/x
  3. Step 3: Cross multiply
    10,117.51x = 13,964.39 × 6,574.57
  4. Step 4: Simplify right side
    10,117.51x = 91,809,806.18
  5. Step 5: Solve for x
    x = 91,809,806.18/10,117.51
  6. Step 6: Final answer
    x = 9,074.35

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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.