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Finding the Fourth Proportional to 10,416.57, 14,374.86 and 5,700.84

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Solution

The fourth proportional to 10,416.57, 14,374.86 and 5,700.84 is: 7,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.57 : 14,374.86 = 5,700.84 : x
  2. Step 2: Convert to fraction form
    10,416.57/14,374.86 = 5,700.84/x
  3. Step 3: Cross multiply
    10,416.57x = 14,374.86 × 5,700.84
  4. Step 4: Simplify right side
    10,416.57x = 81,948,776.88
  5. Step 5: Solve for x
    x = 81,948,776.88/10,416.57
  6. Step 6: Final answer
    x = 7,867.16

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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.