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Finding the Fourth Proportional to 7,401.60, 10,202.71 and 5,510.19

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Solution

The fourth proportional to 7,401.60, 10,202.71 and 5,510.19 is: 7,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.60 : 10,202.71 = 5,510.19 : x
  2. Step 2: Convert to fraction form
    7,401.60/10,202.71 = 5,510.19/x
  3. Step 3: Cross multiply
    7,401.60x = 10,202.71 × 5,510.19
  4. Step 4: Simplify right side
    7,401.60x = 56,218,870.61
  5. Step 5: Solve for x
    x = 56,218,870.61/7,401.60
  6. Step 6: Final answer
    x = 7,595.50

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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.