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Finding the Fourth Proportional to 10,048.81, 13,868.19 and 5,574

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Solution

The fourth proportional to 10,048.81, 13,868.19 and 5,574 is: 7,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.81 : 13,868.19 = 5,574 : x
  2. Step 2: Convert to fraction form
    10,048.81/13,868.19 = 5,574/x
  3. Step 3: Cross multiply
    10,048.81x = 13,868.19 × 5,574
  4. Step 4: Simplify right side
    10,048.81x = 77,301,291.06
  5. Step 5: Solve for x
    x = 77,301,291.06/10,048.81
  6. Step 6: Final answer
    x = 7,692.58

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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.