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Finding the Fourth Proportional to 7,497.96, 10,347.06 and 4,140.78

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Solution

The fourth proportional to 7,497.96, 10,347.06 and 4,140.78 is: 5,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.96 : 10,347.06 = 4,140.78 : x
  2. Step 2: Convert to fraction form
    7,497.96/10,347.06 = 4,140.78/x
  3. Step 3: Cross multiply
    7,497.96x = 10,347.06 × 4,140.78
  4. Step 4: Simplify right side
    7,497.96x = 42,844,899.11
  5. Step 5: Solve for x
    x = 42,844,899.11/7,497.96
  6. Step 6: Final answer
    x = 5,714.21

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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.