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Finding the Fourth Proportional to 10,716.60, 16,075.98 and 3,695.68

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Solution

The fourth proportional to 10,716.60, 16,075.98 and 3,695.68 is: 5,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.60 : 16,075.98 = 3,695.68 : x
  2. Step 2: Convert to fraction form
    10,716.60/16,075.98 = 3,695.68/x
  3. Step 3: Cross multiply
    10,716.60x = 16,075.98 × 3,695.68
  4. Step 4: Simplify right side
    10,716.60x = 59,411,677.77
  5. Step 5: Solve for x
    x = 59,411,677.77/10,716.60
  6. Step 6: Final answer
    x = 5,543.89

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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.