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Finding the Fourth Proportional to 7,938.96, 10,955.76 and 4,402.40

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Solution

The fourth proportional to 7,938.96, 10,955.76 and 4,402.40 is: 6,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.96 : 10,955.76 = 4,402.40 : x
  2. Step 2: Convert to fraction form
    7,938.96/10,955.76 = 4,402.40/x
  3. Step 3: Cross multiply
    7,938.96x = 10,955.76 × 4,402.40
  4. Step 4: Simplify right side
    7,938.96x = 48,231,637.82
  5. Step 5: Solve for x
    x = 48,231,637.82/7,938.96
  6. Step 6: Final answer
    x = 6,075.31

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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.