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Finding the Fourth Proportional to 10,772.80, 16,159.20 and 7,492.30

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Solution

The fourth proportional to 10,772.80, 16,159.20 and 7,492.30 is: 11,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.80 : 16,159.20 = 7,492.30 : x
  2. Step 2: Convert to fraction form
    10,772.80/16,159.20 = 7,492.30/x
  3. Step 3: Cross multiply
    10,772.80x = 16,159.20 × 7,492.30
  4. Step 4: Simplify right side
    10,772.80x = 121,069,574.16
  5. Step 5: Solve for x
    x = 121,069,574.16/10,772.80
  6. Step 6: Final answer
    x = 11,238.45

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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.