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Finding the Fourth Proportional to 7,549.58, 10,417.91 and 4,192.22

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Solution

The fourth proportional to 7,549.58, 10,417.91 and 4,192.22 is: 5,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.58 : 10,417.91 = 4,192.22 : x
  2. Step 2: Convert to fraction form
    7,549.58/10,417.91 = 4,192.22/x
  3. Step 3: Cross multiply
    7,549.58x = 10,417.91 × 4,192.22
  4. Step 4: Simplify right side
    7,549.58x = 43,674,175.74
  5. Step 5: Solve for x
    x = 43,674,175.74/7,549.58
  6. Step 6: Final answer
    x = 5,784.98

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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.