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Finding the Fourth Proportional to 7,281.64, 10,048.58 and 4,137.76

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Solution

The fourth proportional to 7,281.64, 10,048.58 and 4,137.76 is: 5,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.64 : 10,048.58 = 4,137.76 : x
  2. Step 2: Convert to fraction form
    7,281.64/10,048.58 = 4,137.76/x
  3. Step 3: Cross multiply
    7,281.64x = 10,048.58 × 4,137.76
  4. Step 4: Simplify right side
    7,281.64x = 41,578,612.38
  5. Step 5: Solve for x
    x = 41,578,612.38/7,281.64
  6. Step 6: Final answer
    x = 5,710.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.