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Finding the Fourth Proportional to 7,534.71, 11,303.08 and 3,151.13

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Solution

The fourth proportional to 7,534.71, 11,303.08 and 3,151.13 is: 4,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.71 : 11,303.08 = 3,151.13 : x
  2. Step 2: Convert to fraction form
    7,534.71/11,303.08 = 3,151.13/x
  3. Step 3: Cross multiply
    7,534.71x = 11,303.08 × 3,151.13
  4. Step 4: Simplify right side
    7,534.71x = 35,617,458.72
  5. Step 5: Solve for x
    x = 35,617,458.72/7,534.71
  6. Step 6: Final answer
    x = 4,727.12

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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.