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Finding the Fourth Proportional to 7,506.15, 10,357.64 and 4,148.12

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Solution

The fourth proportional to 7,506.15, 10,357.64 and 4,148.12 is: 5,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.15 : 10,357.64 = 4,148.12 : x
  2. Step 2: Convert to fraction form
    7,506.15/10,357.64 = 4,148.12/x
  3. Step 3: Cross multiply
    7,506.15x = 10,357.64 × 4,148.12
  4. Step 4: Simplify right side
    7,506.15x = 42,964,661.11
  5. Step 5: Solve for x
    x = 42,964,661.11/7,506.15
  6. Step 6: Final answer
    x = 5,723.93

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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.