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Finding the Fourth Proportional to 10,046.68, 13,863.64 and 5,570.36

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Solution

The fourth proportional to 10,046.68, 13,863.64 and 5,570.36 is: 7,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.68 : 13,863.64 = 5,570.36 : x
  2. Step 2: Convert to fraction form
    10,046.68/13,863.64 = 5,570.36/x
  3. Step 3: Cross multiply
    10,046.68x = 13,863.64 × 5,570.36
  4. Step 4: Simplify right side
    10,046.68x = 77,225,465.71
  5. Step 5: Solve for x
    x = 77,225,465.71/10,046.68
  6. Step 6: Final answer
    x = 7,686.67

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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.