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Finding the Fourth Proportional to 10,701.60, 16,052.10 and 4,858.20

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Solution

The fourth proportional to 10,701.60, 16,052.10 and 4,858.20 is: 7,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.60 : 16,052.10 = 4,858.20 : x
  2. Step 2: Convert to fraction form
    10,701.60/16,052.10 = 4,858.20/x
  3. Step 3: Cross multiply
    10,701.60x = 16,052.10 × 4,858.20
  4. Step 4: Simplify right side
    10,701.60x = 77,984,312.22
  5. Step 5: Solve for x
    x = 77,984,312.22/10,701.60
  6. Step 6: Final answer
    x = 7,287.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.