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Finding the Fourth Proportional to 10,048.46, 13,866.86 and 5,572.10

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Solution

The fourth proportional to 10,048.46, 13,866.86 and 5,572.10 is: 7,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.46 : 13,866.86 = 5,572.10 : x
  2. Step 2: Convert to fraction form
    10,048.46/13,866.86 = 5,572.10/x
  3. Step 3: Cross multiply
    10,048.46x = 13,866.86 × 5,572.10
  4. Step 4: Simplify right side
    10,048.46x = 77,267,537.41
  5. Step 5: Solve for x
    x = 77,267,537.41/10,048.46
  6. Step 6: Final answer
    x = 7,689.49

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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.