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Finding the Fourth Proportional to 7,498.40, 10,347.64 and 4,141.16

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Solution

The fourth proportional to 7,498.40, 10,347.64 and 4,141.16 is: 5,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.40 : 10,347.64 = 4,141.16 : x
  2. Step 2: Convert to fraction form
    7,498.40/10,347.64 = 4,141.16/x
  3. Step 3: Cross multiply
    7,498.40x = 10,347.64 × 4,141.16
  4. Step 4: Simplify right side
    7,498.40x = 42,851,232.86
  5. Step 5: Solve for x
    x = 42,851,232.86/7,498.40
  6. Step 6: Final answer
    x = 5,714.72

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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.