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Finding the Fourth Proportional to 7,005.50, 10,510.12 and 2,623.40

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Solution

The fourth proportional to 7,005.50, 10,510.12 and 2,623.40 is: 3,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.50 : 10,510.12 = 2,623.40 : x
  2. Step 2: Convert to fraction form
    7,005.50/10,510.12 = 2,623.40/x
  3. Step 3: Cross multiply
    7,005.50x = 10,510.12 × 2,623.40
  4. Step 4: Simplify right side
    7,005.50x = 27,572,248.81
  5. Step 5: Solve for x
    x = 27,572,248.81/7,005.50
  6. Step 6: Final answer
    x = 3,935.80

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Why These Related Problems?

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