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Finding the Fourth Proportional to 7,095.28, 10,642.92 and 2,477.20

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Solution

The fourth proportional to 7,095.28, 10,642.92 and 2,477.20 is: 3,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.28 : 10,642.92 = 2,477.20 : x
  2. Step 2: Convert to fraction form
    7,095.28/10,642.92 = 2,477.20/x
  3. Step 3: Cross multiply
    7,095.28x = 10,642.92 × 2,477.20
  4. Step 4: Simplify right side
    7,095.28x = 26,364,641.42
  5. Step 5: Solve for x
    x = 26,364,641.42/7,095.28
  6. Step 6: Final answer
    x = 3,715.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.