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Finding the Fourth Proportional to 10,377.32, 15,492.09 and 10,012.82

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Solution

The fourth proportional to 10,377.32, 15,492.09 and 10,012.82 is: 14,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.32 : 15,492.09 = 10,012.82 : x
  2. Step 2: Convert to fraction form
    10,377.32/15,492.09 = 10,012.82/x
  3. Step 3: Cross multiply
    10,377.32x = 15,492.09 × 10,012.82
  4. Step 4: Simplify right side
    10,377.32x = 155,119,458.53
  5. Step 5: Solve for x
    x = 155,119,458.53/10,377.32
  6. Step 6: Final answer
    x = 14,947.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.