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Finding the Fourth Proportional to 10,492.08, 15,800.58 and 9,463.92

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Solution

The fourth proportional to 10,492.08, 15,800.58 and 9,463.92 is: 14,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.08 : 15,800.58 = 9,463.92 : x
  2. Step 2: Convert to fraction form
    10,492.08/15,800.58 = 9,463.92/x
  3. Step 3: Cross multiply
    10,492.08x = 15,800.58 × 9,463.92
  4. Step 4: Simplify right side
    10,492.08x = 149,535,425.07
  5. Step 5: Solve for x
    x = 149,535,425.07/10,492.08
  6. Step 6: Final answer
    x = 14,252.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.