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Finding the Fourth Proportional to 10,567.36, 15,852.48 and 3,640

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Solution

The fourth proportional to 10,567.36, 15,852.48 and 3,640 is: 5,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.36 : 15,852.48 = 3,640 : x
  2. Step 2: Convert to fraction form
    10,567.36/15,852.48 = 3,640/x
  3. Step 3: Cross multiply
    10,567.36x = 15,852.48 × 3,640
  4. Step 4: Simplify right side
    10,567.36x = 57,703,027.20
  5. Step 5: Solve for x
    x = 57,703,027.20/10,567.36
  6. Step 6: Final answer
    x = 5,460.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.