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Finding the Fourth Proportional to 7,506.16, 10,358.09 and 4,148.77

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Solution

The fourth proportional to 7,506.16, 10,358.09 and 4,148.77 is: 5,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.16 : 10,358.09 = 4,148.77 : x
  2. Step 2: Convert to fraction form
    7,506.16/10,358.09 = 4,148.77/x
  3. Step 3: Cross multiply
    7,506.16x = 10,358.09 × 4,148.77
  4. Step 4: Simplify right side
    7,506.16x = 42,973,333.05
  5. Step 5: Solve for x
    x = 42,973,333.05/7,506.16
  6. Step 6: Final answer
    x = 5,725.08

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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.