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Finding the Fourth Proportional to 8,490.48, 11,715.50 and 4,856.46

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Solution

The fourth proportional to 8,490.48, 11,715.50 and 4,856.46 is: 6,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.48 : 11,715.50 = 4,856.46 : x
  2. Step 2: Convert to fraction form
    8,490.48/11,715.50 = 4,856.46/x
  3. Step 3: Cross multiply
    8,490.48x = 11,715.50 × 4,856.46
  4. Step 4: Simplify right side
    8,490.48x = 56,895,857.13
  5. Step 5: Solve for x
    x = 56,895,857.13/8,490.48
  6. Step 6: Final answer
    x = 6,701.14

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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.