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Finding the Fourth Proportional to 7,342.76, 10,129.65 and 4,357.51

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Solution

The fourth proportional to 7,342.76, 10,129.65 and 4,357.51 is: 6,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.76 : 10,129.65 = 4,357.51 : x
  2. Step 2: Convert to fraction form
    7,342.76/10,129.65 = 4,357.51/x
  3. Step 3: Cross multiply
    7,342.76x = 10,129.65 × 4,357.51
  4. Step 4: Simplify right side
    7,342.76x = 44,140,051.17
  5. Step 5: Solve for x
    x = 44,140,051.17/7,342.76
  6. Step 6: Final answer
    x = 6,011.37

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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.