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Finding the Fourth Proportional to 10,477.81, 15,716.81 and 2,686.69

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Solution

The fourth proportional to 10,477.81, 15,716.81 and 2,686.69 is: 4,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.81 : 15,716.81 = 2,686.69 : x
  2. Step 2: Convert to fraction form
    10,477.81/15,716.81 = 2,686.69/x
  3. Step 3: Cross multiply
    10,477.81x = 15,716.81 × 2,686.69
  4. Step 4: Simplify right side
    10,477.81x = 42,226,196.26
  5. Step 5: Solve for x
    x = 42,226,196.26/10,477.81
  6. Step 6: Final answer
    x = 4,030.06

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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.