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Finding the Fourth Proportional to 7,498.17, 10,347.56 and 4,140.92

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Solution

The fourth proportional to 7,498.17, 10,347.56 and 4,140.92 is: 5,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.17 : 10,347.56 = 4,140.92 : x
  2. Step 2: Convert to fraction form
    7,498.17/10,347.56 = 4,140.92/x
  3. Step 3: Cross multiply
    7,498.17x = 10,347.56 × 4,140.92
  4. Step 4: Simplify right side
    7,498.17x = 42,848,345.71
  5. Step 5: Solve for x
    x = 42,848,345.71/7,498.17
  6. Step 6: Final answer
    x = 5,714.51

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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.