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Finding the Fourth Proportional to 10,038.38, 13,852.76 and 5,561.87

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Solution

The fourth proportional to 10,038.38, 13,852.76 and 5,561.87 is: 7,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.38 : 13,852.76 = 5,561.87 : x
  2. Step 2: Convert to fraction form
    10,038.38/13,852.76 = 5,561.87/x
  3. Step 3: Cross multiply
    10,038.38x = 13,852.76 × 5,561.87
  4. Step 4: Simplify right side
    10,038.38x = 77,047,153.19
  5. Step 5: Solve for x
    x = 77,047,153.19/10,038.38
  6. Step 6: Final answer
    x = 7,675.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.