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Finding the Fourth Proportional to 10,048.34, 13,866.75 and 5,572.08

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Solution

The fourth proportional to 10,048.34, 13,866.75 and 5,572.08 is: 7,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.34 : 13,866.75 = 5,572.08 : x
  2. Step 2: Convert to fraction form
    10,048.34/13,866.75 = 5,572.08/x
  3. Step 3: Cross multiply
    10,048.34x = 13,866.75 × 5,572.08
  4. Step 4: Simplify right side
    10,048.34x = 77,266,640.34
  5. Step 5: Solve for x
    x = 77,266,640.34/10,048.34
  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.