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Finding the Fourth Proportional to 7,346, 10,137.92 and 4,159.58

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Solution

The fourth proportional to 7,346, 10,137.92 and 4,159.58 is: 5,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346 : 10,137.92 = 4,159.58 : x
  2. Step 2: Convert to fraction form
    7,346/10,137.92 = 4,159.58/x
  3. Step 3: Cross multiply
    7,346x = 10,137.92 × 4,159.58
  4. Step 4: Simplify right side
    7,346x = 42,169,489.27
  5. Step 5: Solve for x
    x = 42,169,489.27/7,346
  6. Step 6: Final answer
    x = 5,740.47

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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.