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Finding the Fourth Proportional to 7,006.60, 10,510.14 and 2,389

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Solution

The fourth proportional to 7,006.60, 10,510.14 and 2,389 is: 3,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.60 : 10,510.14 = 2,389 : x
  2. Step 2: Convert to fraction form
    7,006.60/10,510.14 = 2,389/x
  3. Step 3: Cross multiply
    7,006.60x = 10,510.14 × 2,389
  4. Step 4: Simplify right side
    7,006.60x = 25,108,724.46
  5. Step 5: Solve for x
    x = 25,108,724.46/7,006.60
  6. Step 6: Final answer
    x = 3,583.58

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