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Finding the Fourth Proportional to 10,048.48, 13,866.72 and 5,572

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Solution

The fourth proportional to 10,048.48, 13,866.72 and 5,572 is: 7,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.48 : 13,866.72 = 5,572 : x
  2. Step 2: Convert to fraction form
    10,048.48/13,866.72 = 5,572/x
  3. Step 3: Cross multiply
    10,048.48x = 13,866.72 × 5,572
  4. Step 4: Simplify right side
    10,048.48x = 77,265,363.84
  5. Step 5: Solve for x
    x = 77,265,363.84/10,048.48
  6. Step 6: Final answer
    x = 7,689.26

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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.