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Finding the Fourth Proportional to 10,492.49, 14,479.76 and 5,712.53

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Solution

The fourth proportional to 10,492.49, 14,479.76 and 5,712.53 is: 7,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.49 : 14,479.76 = 5,712.53 : x
  2. Step 2: Convert to fraction form
    10,492.49/14,479.76 = 5,712.53/x
  3. Step 3: Cross multiply
    10,492.49x = 14,479.76 × 5,712.53
  4. Step 4: Simplify right side
    10,492.49x = 82,716,005.28
  5. Step 5: Solve for x
    x = 82,716,005.28/10,492.49
  6. Step 6: Final answer
    x = 7,883.36

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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.