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Finding the Fourth Proportional to 7,535.02, 10,398.04 and 4,177.74

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Solution

The fourth proportional to 7,535.02, 10,398.04 and 4,177.74 is: 5,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.02 : 10,398.04 = 4,177.74 : x
  2. Step 2: Convert to fraction form
    7,535.02/10,398.04 = 4,177.74/x
  3. Step 3: Cross multiply
    7,535.02x = 10,398.04 × 4,177.74
  4. Step 4: Simplify right side
    7,535.02x = 43,440,307.63
  5. Step 5: Solve for x
    x = 43,440,307.63/7,535.02
  6. Step 6: Final answer
    x = 5,765.12

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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.