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Finding the Fourth Proportional to 7,324, 10,106.96 and 4,492.48

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Solution

The fourth proportional to 7,324, 10,106.96 and 4,492.48 is: 6,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324 : 10,106.96 = 4,492.48 : x
  2. Step 2: Convert to fraction form
    7,324/10,106.96 = 4,492.48/x
  3. Step 3: Cross multiply
    7,324x = 10,106.96 × 4,492.48
  4. Step 4: Simplify right side
    7,324x = 45,405,315.66
  5. Step 5: Solve for x
    x = 45,405,315.66/7,324
  6. Step 6: Final answer
    x = 6,199.52

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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.