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Finding the Fourth Proportional to 10,377.32, 14,316.12 and 7,018.90

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Solution

The fourth proportional to 10,377.32, 14,316.12 and 7,018.90 is: 9,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.32 : 14,316.12 = 7,018.90 : x
  2. Step 2: Convert to fraction form
    10,377.32/14,316.12 = 7,018.90/x
  3. Step 3: Cross multiply
    10,377.32x = 14,316.12 × 7,018.90
  4. Step 4: Simplify right side
    10,377.32x = 100,483,414.67
  5. Step 5: Solve for x
    x = 100,483,414.67/10,377.32
  6. Step 6: Final answer
    x = 9,682.98

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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.