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Finding the Fourth Proportional to 10,699.85, 16,053.59 and 4,776.20

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Solution

The fourth proportional to 10,699.85, 16,053.59 and 4,776.20 is: 7,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.85 : 16,053.59 = 4,776.20 : x
  2. Step 2: Convert to fraction form
    10,699.85/16,053.59 = 4,776.20/x
  3. Step 3: Cross multiply
    10,699.85x = 16,053.59 × 4,776.20
  4. Step 4: Simplify right side
    10,699.85x = 76,675,172.81
  5. Step 5: Solve for x
    x = 76,675,172.81/10,699.85
  6. Step 6: Final answer
    x = 7,166.00

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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.